{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "from scipy.optimize import curve_fit\n",
    "from scipy.special import wofz\n",
    "\n",
    "def voigt_profile(x, a, b, sigma, gamma):\n",
    "    return a * np.real(wofz(((x - b) + 1j * gamma) / (sigma * np.sqrt(2)))) / (sigma * np.sqrt(2 * np.pi))\n",
    "\n",
    "def multi_voigt(x, *params):\n",
    "    num_peaks = (len(params) - 4) // 2\n",
    "    sigma, gamma = params[-4], params[-3]\n",
    "    slope, intercept = params[-2], params[-1]\n",
    "    baseline = slope * x + intercept\n",
    "    y = np.zeros_like(x)\n",
    "    for i in range(num_peaks):\n",
    "        a, b = params[2 * i: 2 * i + 2]\n",
    "        y += voigt_profile(x, a, b, sigma, gamma)\n",
    "    return y + baseline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Ts = [12,15,20,23,26,30,35,40,50,60,80,100,130,160,190,220,250,275,296]\n",
    "fields = np.arange(0, 7.5, 0.5)\n",
    "bs = [510, 514, 518]\n",
    "files = ['HV', 'VV']\n",
    "pol = ['HV', 'VV']\n",
    "\n",
    "def fit_spectrum(E, I, peaks):\n",
    "    num_peaks = len(peaks)\n",
    "    initial_params = sum([[10*(b-509), b] for b in peaks], []) + [0.148, 0.1, 0, 0]\n",
    "    bounds_lower = sum([[0, b - 3] for b in peaks], []) + [0.147, 0, -np.inf, -10]\n",
    "    bounds_upper = sum([[np.inf, b + 1] for b in peaks], []) + [0.149,2, np.inf, 100]\n",
    "    popt, pcov = curve_fit(multi_voigt, E, I, p0=initial_params, bounds=(bounds_lower, bounds_upper))\n",
    "    perr = np.sqrt(np.diag(pcov))\n",
    "    return popt, perr\n",
    "\n",
    "sigma_vals = []\n",
    "gamma_vals = []\n",
    "fwhm_vals = []\n",
    "peak_positions_vals = []\n",
    "sigma_errs = []\n",
    "gamma_errs = []\n",
    "fwhm_errs = []\n",
    "peak_positions_errs = []\n",
    "\n",
    "plt.figure(figsize=(4,10))\n",
    "plt.title(\"VV Spectral Fit\")\n",
    "plt.xlabel(\"Energy (units)\")\n",
    "plt.ylabel(\"Intensity (units)\")\n",
    "\n",
    "for idx in range(len(Ts)):\n",
    "    filename = f\"VV{Ts[idx]}.txt\"\n",
    "    data = np.loadtxt(filename)\n",
    "    E, I = data[1779:1905, 0], data[1779:1905, 1]\n",
    "    if Ts[idx] < 109:\n",
    "        peaks = bs\n",
    "        popt, perr = fit_spectrum(E, I, peaks)\n",
    "        peak_positions_vals.append(np.r_[popt[1::2]])\n",
    "        peak_positions_errs.append(np.r_[perr[1::2]])\n",
    "    if 109 < Ts[idx] < 201:\n",
    "        peaks = bs[1:]\n",
    "        popt, perr = fit_spectrum(E, I, peaks)\n",
    "        peak_positions_vals.append(np.r_[0,popt[1::2]])\n",
    "        peak_positions_errs.append(np.r_[0,perr[1::2]])\n",
    "    if Ts[idx] > 201:\n",
    "        peaks = [bs[2]]\n",
    "        popt, perr = fit_spectrum(E, I, peaks)\n",
    "        peak_positions_vals.append(np.r_[0,0,popt[1::2]])\n",
    "        peak_positions_errs.append(np.r_[0,0,perr[1::2]])\n",
    "    sigma_vals.append(popt[-4])\n",
    "    gamma_vals.append(popt[-3])\n",
    "    fwhm = 2 * (0.5346 * popt[-3] + np.sqrt(0.2166 * popt[-3]**2 + popt[-4]**2))\n",
    "    fwhm_vals.append(fwhm)\n",
    "    sigma_errs.append(perr[-4])\n",
    "    gamma_errs.append(perr[-3])\n",
    "    fwhm_errs.append(2 * np.sqrt((0.5346 * perr[-3])**2 + (0.5 * popt[-4] * perr[-4] / np.sqrt(0.2166 * popt[-3]**2 + popt[-4]**2))**2))\n",
    "    plt.plot(E, I - E * popt[-2] - popt[-1] + 30 * idx, '.', color=(Ts[idx] / 300, 0, 0))\n",
    "    plt.plot(np.linspace(505, 525, 100), multi_voigt(np.linspace(505, 525, 100), *popt) - np.linspace(505, 525, 100) * popt[-2] - popt[-1] + 30 * idx, color=(Ts[idx] / 300, 0, 0), linewidth=1.5)\n",
    "plt.xlim([505, 525])\n",
    "plt.savefig('VV_fits.eps')\n",
    "plt.show()\n",
    "\n",
    "plt.figure()\n",
    "plt.ylim([505, 525])\n",
    "for i in range(3):\n",
    "    peak_pos = [pos[i] for pos in peak_positions_vals]\n",
    "    peak_err = [err[i] for err in peak_positions_errs]\n",
    "    plt.errorbar(Ts, peak_pos, yerr=peak_err, fmt='o', label=f'Peak {i+1}')\n",
    "plt.xlabel(\"Temperature (K)\")\n",
    "plt.ylabel(\"Peak Position (units)\")\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "plt.figure()\n",
    "plt.errorbar(Ts, sigma_vals, yerr=sigma_errs, fmt='o', label='Sigma')\n",
    "plt.errorbar(Ts, gamma_vals, yerr=gamma_errs, fmt='s', label='Gamma')\n",
    "plt.errorbar(Ts, fwhm_vals, yerr=fwhm_errs, fmt='s', label='FWHM')\n",
    "plt.ylim([0, 2])\n",
    "plt.xlabel(\"Temperature (K)\")\n",
    "plt.ylabel(\"Width (units)\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x27f7d0f9630>]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "filename = f\"VV{Ts[0]}.txt\"\n",
    "data = np.loadtxt(filename)\n",
    "E, I = data[1779:1905, 0], data[1779:1905, 1]\n",
    "peaks = bs\n",
    "popt, perr = fit_spectrum(E, I, peaks)\n",
    "plt.plot(E, I - E * popt[-2] - popt[-1] + 30 * idx, '.', color=(Ts[idx] / 300, 0, 0))\n",
    "plt.plot(np.linspace(505, 525, 100), multi_voigt(np.linspace(505, 525, 100), *popt) - np.linspace(505, 525, 100) * popt[-2] - popt[-1] + 30 * idx, color=(Ts[idx] / 300, 0, 0), linewidth=1.5)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x27f7e9dfa60>]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.fftpack import fft, ifft, fftfreq\n",
    "\n",
    "num_samples = 60000\n",
    "Es_fft=np.linspace(0,600,num_samples)\n",
    "popt_fft=popt.copy()\n",
    "popt_fft[-4]=0.00001\n",
    "I_fft = multi_voigt(Es_fft, *popt_fft)- Es_fft * popt[-2] - popt[-1]\n",
    "\n",
    "fft_result = fft(np.sqrt(I_fft), 1000000)\n",
    "fft_normalized = 2 * np.real(fft_result) / np.max(np.real(fft_result))\n",
    "\n",
    "\n",
    "# Plot the inverse FFT in the time domain\n",
    "plt.figure(figsize=(5, 5))\n",
    "plt.plot(fft_normalized,linewidth=0.5)\n",
    "plt.xlim([0, 12508])\n",
    "plt.ylim([-1, 1])\n",
    "plt.xlabel(\"Frequency Index\")\n",
    "plt.ylabel(\"Normalized Amplitude\")\n",
    "plt.title(\"FFT of Square Root of Ist\")\n",
    "plt.savefig('ifft.eps')\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(Es_fft,I_fft)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n"
     ]
    },
    {
     "data": {
      "image/png": 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5W1tbxMXFobi4GAUFBRAKhQgMDISNjY3CZfP394eVlRU2bdoECwsLiMViODk5oaysTJJGmWcmFArh4OAgda5nz56IjIyssyy1fdba0lQGbAcPHpSqtQMAXV1dydfVa7DefPNNvP7665KfG+B5DZaJiQk0NTVlanBycnIkNT2KpCGEkOoo+KlB+/a8BkZVeTcVHR2deq1p9PjxYwCQNK0dOXIEjx49kqyTdO7cOdy9exdjxowBANy/f1/qJWhpaSkZAaVss1d1paWlSE1NrTE4kufJkyfQ0JDu4qapqVnrUHfGGD744ANER0cjNja21oBGX18f+vr6ePToEY4cOYKvvvpKoXLl5eUhNTUVGzZskHweeTUuyjwzb29vmSHoN27cgLW1dY3XKvJZa0vj4OAAXV1dZGRk1NrEVb0Gq127djA1NZUbuOvo6MDd3R0xMTFStZIxMTEYPXq0wmkIIaQ6Cn5qIBAo3/TUGnTr1g1nz57FnTt30KFDBxgbG0NDQwPR0dFYuHAh/vnnH7nXWVtbQyAQYNeuXdDX18fcuXMxatQo7N+/H926dcO0adMwZMgQDBw4EAB/UVZX2QyhbLPXvHnz4O/vj65duyInJwdLly5FQUGBVI1NUVERbt68KdlPT09HUlISjI2N0bVrV/j7++OLL75A165d4ejoiMTERHz77bd49913JdesWbMG0dHR+OuvvwAAM2bMwM6dO7F//34YGBhIaheMjIzQrl07ADwIZIzBzs4ON2/exIcffgg7Ozu88847Cn22jh07olOnTti4cSOEQiEyMjKwYMECmXTKPLM5c+bAy8sLy5Ytw/jx43Hu3Dls3LgRGzdubNBnrS2NgYEB5s2bhzlz5kAsFmPAgAEoKCjA6dOn0aFDB4WaFuUJDQ1FUFAQ+vTpA09PT2zcuBEZGRmYPn26UmkIIUSKqoaZqYK6D3VnjLHr16+z/v37s3bt2kkNdd+yZQur68dh2bJlzNDQkJmZmbFNmzaxy5cvs27durH27duzwMBAlpeXJ0l76tQpNmbMGMn+rFmz2C+//FKvzxcYGMiEQiHT1tZmFhYWLCAggCUnJ0ulOX78uMwwfgAsODiYMcZYQUEBmz17NuvatSvT09Nj3bt3Z4sWLWKlpaWSe4SFhTFra2vJvrz7AZAamr1nzx7WvXt3pqOjw8zNzdmMGTPY48ePJecVea4xMTGsZ8+eTFdXl/Xq1YvFxsbKHa6vjN9//505OTkxXV1dZm9vzzZu3Ch1vj6fta40YrGYrVq1itnZ2TFtbW3WuXNnNmLEiFqHy9c11J0xxtauXcusra2Zjo4Oc3Nzk3s/RdJUas2/64SoUlsa6i5gTM6f6G3UvXv3YGVlhczMTJn+DCUlJUhPT5fMEksapry8HD179kRsbKykw/OZM2cUHp3VVoSHhyM2NhaxsbGqLgr5D/2uE1I/tb1DWxtq9iJNQktLCytWrMDLL78MsViMjz76SO0CH4A3i61atUrVxSCEEFIFBT+kybz22mt47bXXVF0MlUpISFB1EQghhFRDMzwTQgghRK1Q8EMIIYQQtULBDyGEEELUCgU/hBBCCFErFPwQQgghRK1Q8FONGk17RIhaot9x0qYVF/MlCgQC/jWRi4Kf/2hqagKA1GKShJC2p/J3vPJ3nhCifpSa5yc8PBxLliyROmZmZiZZ4ycqKgobNmzAxYsXkZeXh8TERPTu3VsqfXZ2Nj788EPExMSgsLAQdnZ2+Pjjj/HGG2/UO9/GoKWlhfbt2+Pff/+Ftra2zCKYhJDWTywW499//0X79u2hpUXTnBHSlOLj4/H111/j4sWLEIlEiI6Olix+Lc/bb7+Nbdu2yRx3cHBAcnIyAGDr1q1y1058+vSpUjO2K/3b7+joiGPHjkn2q/71VFxcDG9vb4wbNw5Tp06Ve31QUBDy8/Nx4MABmJiYYOfOnQgMDMSFCxfg6upar3wbg0AggFAoRHp6Ou7evduo9yaEtBwaGhro2rWrZKFdQkjTKC4uhouLC9555x28/vrrdaZftWoVli9fLtkvLy+Hi4sLxo0bJ5XO0NAQ169flzqm7FI1Sgc/WlpaMDc3l3suKCgIAHDnzp0ar09ISMD69evh4eEBAFi8eDG+++47XLp0qdbgp7Z8G4uOjg569OhBTV+EtGE6OjpUs0tIM/Dz84Ofn5/C6Y2MjGBkZCTZ37dvHx49eiRT0yMQCBocDygd/KSlpcHCwgK6urro168fli1bhu7duyt8/YABA7Bnzx688soreOGFF/Drr7+itLQUgwcPbvR8S0tLUVpaKtkvLCyss3waGhq02CEhhBBSg8LCQhQUFEj2dXV1oaur2+j5bN68GcOGDYO1tbXU8aKiIlhbW6OiogK9e/fG559/XmvliTxK/fnTr18/bN++HUeOHMGmTZuQnZ0NLy8v5OXlKXyPPXv2oLy8HJ06dYKuri6mTZuG6Oho2NraNnq+ERERkkjSyMgIDg4OCpeTEEIIIbIcHByk3q0RERGNnodIJMLhw4cxZcoUqeP29vbYunUrDhw4gF27dkFPTw/e3t5IS0tTLgPWAEVFRczMzIytWLFC6nh6ejoDwBITE2WumTlzJvPw8GDHjh1jSUlJLDw8nBkZGbErV640ON/qSkpKWH5+vmRLSUlhAFhmZqbCeRFCCCGtRlERYwDfiooa9daZmZkMAEtJSZF6t5aUlNR5LQAWHR2tcF7Lli1jnTp1YqWlpbWmq6ioYC4uLuyDDz5Q+N6MMdag4Q76+vpwdnZWOOK6desW1qxZg2vXrsHR0REA4OLighMnTmDt2rX44YcfGjXf6lVxVavpCCGEEKI8AwMDGBoaNtn9GWP46aefEBQUBB0dnVrTamhooG/fvkrX/DSo119paSlSU1MhFAoVSv/kyROeabXOhpqamhCLxU2Wb3OpEDMk3MrD/qQsJNzKQ4WYJlMjhBBClBEXF4ebN29i8uTJdaZljCEpKUnpeECpmp958+bB398fXbt2RU5ODpYuXYqCggIEBwcDAB4+fIiMjAzcv38fACRD0czNzWFubg57e3u8+OKLmDZtGr755ht06tQJ+/btQ0xMDP744w9JPkOHDsXYsWMxc+ZMhfJtCf68JsKS31Mgyi+RHBMa6SHM3wEjnVpWkEYIIYQ0taKiIty8eVOyn56ejqSkJBgbG6Nr165YuHAhsrKysH37dqnrNm/ejH79+sHJyUnmnkuWLEH//v3Ro0cPFBQU4Pvvv0dSUhLWrl2rVNmUqvm5d+8eJk6cCDs7OwQEBEBHRwdnzpyR9MQ+cOAAXF1d8corrwAAJkyYAFdXV0lzlra2Ng4dOoTOnTvD398fvXr1wvbt27Ft2zaMGjVKks+tW7eQm5urcL6q9uc1Ed7fcUkq8AGA7PwSvL/jEv68JgJANUOEEELUR+X8fZUjsUJDQ+Hq6opPP/0UAO/UnJGRIXVNfn4+IiMja6z1efz4Md577z307NkTvr6+yMrKQnx8vGT6HEUJ/uuIpBbu3bsHKysrZGZmwtLSssH3qxAznLmVhxk7L+Hx02dy0wgAmBvp4ZNXHPD5QaoZIoQQ0oSKi4EOHfjXRUWAvn6j3bqx36GqRPO715O8Zi55GABRfgn+b+clmXOVNUPrJ7lRAEQIIYQ0Ewp+6qGymauhVWaV1y+IvAoDPW30794Jmho05T4hhBDSlCj4UVKFmGHJ7ykNDnyqevz0Gd788WyTNINViBnOpT9ETmEJTA304GFjrHCA1ZBrCSGEkJaKgh8lnUt/WGdTV301djNYQ0ag0eg1QgghbRWt7qeknELFAx9l60gqa5OW/J7S4JFgio5Aa+xrVY1G1BFCCKkL1fwoydRA8UVP+Sivnvj8YCqy80sUaiqr7CD9XcwNeL9oolBTU/XmKXfrjjU2zTHwoGzJ7ykY7mAuc+/amvXqulbVqLaKENIiNOGIK9I4KPhRkoeNMYRGerUGMy+008baN90kHZg1NAR4f8clCACF+wqtOX4Ta47frPPlLe+Fb6yvjYfF8ofeA88DrHPpD+Fp20nqXF3NerVdq0o1dUKnEXWEEEKqo2YvJWlqCBDmz1eHr17vIfhvWzraGR7WJhBXCPDsGTDUTojVE9xgZqh4rVGlypf3H0kiPHsGqe3gZfnNU7UFPlXJa8JTtFmvrnTN2fxUV20V0DhNiYQQQtoGqvmph5FOQqyf5IYFv6bgcdnzIOBZgR4e/uUA/y/l1TAIAYE5dK3y0HnMJWjoPYNAgVYjBr487/SNycg9qA1N/VJUFOmhNKsjukxLgaYBFLqPPJP/p4cp/wJaWs83DXM9YFDd1+7Zqocz7YD27XntroHB8+3GExF2pKQg90nzND+11toqQgghqkHBTz2NdBLi6U1zTJz1EJodSnhAcs8YYLVEIkyA0gwT5P3pjM5jLoExxQIXgQDQMiyF+cSzkmMVxdrQ1FeshkemGAyoKNRD3j/Gsu1wd43RxVUPmgYlcstWee2uH+RcC6DdSyJ0HnNJUu5K9x+XYPrPl2B20w3WmkKYmQHm5pD8a2EBWFoCJiaAhpL1kY1VW0UIIUQ9UPDTAK++IkD24PrUJAjx13U3fHUsBQ/q+UKub+AD8KDks7EO8JolQEUFUFEBlJfzprTycgESMh2wJkl2RurKa/3MHGC6UIAnT3i/vqIioLAQKChkyOj9X/OTQPY6xoAssxSc+8G8xiBRR4cHQlZWQLdu0tuLL/IAqXpwpGgndGU6qxNCCGm7KPhpAG1t4IUX6nft6/2EGNPXHOfSH+LUzX+x5vitRi1bJWN9HTwsLpPsK9L85A0hnJzclB45lXDrISZuqjmY4zVYJZj35UPoPO6E7GxItvv3gQcPgLIy4M4dvp04IXsPXV3A1pYHQvb2fLOzN4aZgR5yCuV3Qq9cX83DxrjGshFCCFEfFPyokKaGAJ62neBhY4zIS1kKD4dXROULP+7Dl3Hx7iOlZ2ke6STEcAdzpWZ4VrRZacDwEozuLXu8rAwQiYCsLODuXb5VBkK3bwPp6UBpKZCSwrcDB55/2nYvOaDzGD6irmqtU+WXYf4OLW5oPiGEENWg4KcFqBxBpuxw+JpUfeHraGnUu5NvZXCmqIY2P+noANbWfPPykj1fXg5kZAA3bwJpacA//wCpqXy7f0OIf/e5wXhoCrQMnwdh5YV66JjugOjVQtx1A/r2BZydea0dIYQQ9UTBTwtROYJMkZXiq6vetGWuoon96poDqaHNT1paQPfufPP1lT6Xnw8kJwtx+Yo54lIf4mZmCe78wzt132MCXK2SVk8PcHMDPDwAT0/A2xvo0qVeRSKEENIKCRhjajP5yb1792BlZYXMzExYWlqqujhyVZ2t2URfF3P3XsaDgtqDifo2bTWFyskGAekarMrSNOdkg4zxprJLl/h24QJw/jzw+LFsWmtrHgQNGAAMHsz7EtV3CgFCiJpT5QzPTZh3a3iHKoqCnxauJQUTimrJy0yIxbzZ7OxZvp0+DVy+zI9XZWoKDBrEA6Fhw4AePSgYIoQoiIKfFo+Cn1agJQcTNam+3pgqa6PqUljIA6GTJ/kIs9OngZJqLY9WVjwIGjoUGD6cB0eEECIXBT8tHgU/rURrCiZau9JS3jwWGwv8/Tdw6hQfiVaVuzvg5weMHAn068f7IxFCCAAKfloBCn4IqcOTJzwAOnYMOHoUSEqSPm9sDIz0Y3Ac/BA2DiXoZkbBKSFqTZXBT0EBYGTEvz50iI8O0dRslFu3pXco/b1KSB3at+dNXcOHA19+yeciOnoU+PNP/u9TExHiDFNw6mYJcJNf00FDDwt8HTBpcMtsliSEtEFRUcCsWc/3R43i0+KvWgUEBKiuXC0QrepOiJKEQiA4GNi1C9j+twimYy9By0C6k1BhRQkWHb6EXqNEWLYMuHFDRYUlhKiHqCjgjTf4LLFVZWXx41FRqilXC0XBDyH1VCFmWHoohe/IWcsMAB52S8GixQx2dkDv3sAXX1AgRAhpZBUVwOzZfH6P6iqPhYTwdAQABT+E1Nu59Ie1TkhZuZbZgICH0NLiQ+oXLwbs7ABXV+Crr/iM1YQQ0iAnTgD37tV8njEgM1P+golqioIfQupJ0bXM5i0uQXY2sHkzHx2mpcU7Tc+f/3xyxbVrgdzcpi0vIaSNEokaN50aoOCHkHpSZi2zTp2Ad98FDh/mq9hv2MAnUBQI+LxCM2fyvkSjRwO//SY7zxAhhMhVUADs3KlYWiENwKhEwQ8h9VS5lllNA9oF4JNRVl/LrFMn4L33gOPHeU30ihW8Gay8nK9UP24c/z/q//6PzzekPpNREEKU8uefgKMj8McftacTCPhMrT4+zVOuVkCp4Cc8PBwCgUBqMzc3l5yPiorCiBEjYGJiAoFAgKTqE6IAyM7ORlBQEMzNzaGvrw83Nzf89ttvdea9bt062NjYQE9PD+7u7jhBbZdExTQ1BAjzdwAg099Zsh/m71DrfD9dugChoXztsWvXeFOYpSVff2z9er74qrMz8M03QE5Ok3wMQlq34mL+chcI+Nfq4NEj4J13+Eyr9+7x1Z6XLHn+HKqq3F+5stHm+1FUfHw8/P39YWFhAYFAgH379tWaPjY2VibGEAgE+Oeff6TSRUZGwsHBAbq6unBwcEB0dLTSZVO65sfR0REikUiyXb36fL3s4uJieHt7Y/ny5TVeHxQUhOvXr+PAgQO4evUqAgICEBgYiMTExBqv2bNnD0JCQrBo0SIkJibCx8cHfn5+yKDeokTFRjoJsX6SG8yNpJvAzI30lF53zdERWL4cuHsXiIkB/vc/vgJ9cjLw4Yc8UHrjDeDIERq0QYja+v13/p/F1q08sAkJAa5cAT79lLeZW1hIp7e05MdVMM9PcXExXFxcsGbNGqWuu379ulSc0aNHD8m5hIQEBAYGIigoCJcvX0ZQUBDGjx+Ps2fPKlc4poSwsDDm4uJSZ7r09HQGgCUmJsqc09fXZ9u3b5c6ZmxszH788cca7+fh4cGmT58udcze3p4tWLBAoXJXyszMZABYZmamUtcRUpfyCjE7fTOX7Uu8x07fzGXlFeJGue/jx4xt2MCYhwdjvAGMb127MvbZZ4xlZTVKNoS0XkVFz38xiopUXRquKcr077+M/e9/z+/70kuMnTolmy4//3maQ4cYKy9vnPxZw96hAFh0dHStaY4fP84AsEePHtWYZvz48WzkyJFSx0aMGMEmTJigVHmUrvlJS0uDhYUFbGxsMGHCBNy+fVup6wcMGIA9e/bg4cOHEIvF2L17N0pLSzF48GC56cvKynDx4kX4+vpKHff19cXp06drzau0tBQFBQWSrbCwUKmyEqIoTQ0BPG07YXTvLvC07dRoS1sYGfH+QWfP8qHys2YBHTvyIfKffgp07Qq8/jqvKaq+Mj0hpI347Tde27NzJ6ChAXz0ER8y6uUlm7Zq09bAgU3S1FVYWCj1bi0tLW3U+7u6ukIoFGLo0KE4fvy41LmEhASZeGDEiBF1xgPVKRX89OvXD9u3b8eRI0ewadMmZGdnw8vLC3l5eQrfY8+ePSgvL0enTp2gq6uLadOmITo6Gra2tnLT5+bmoqKiAmZmZlLHzczMkJ2dXWteERERMDIykmwODg4Kl5OQlqZXLz5LfVYW8PPPwIABvPkrKoov32NnB3z3He8OQAhpAx484G3d48bxTn+OjsCZM3ydnXbtVFYsBwcHqXdrREREo9xXKBRi48aNiIyMRFRUFOzs7DB06FDEx8dL0mRnZ9crHqhOqbW9/Pz8JF87OzvD09MTtra22LZtG0JDQxW6x+LFi/Ho0SMcO3YMJiYm2LdvH8aNG4cTJ07A2dm5xusE1TpxMcZkjlW3cOFCqXJlZWVRAERavXbtgEmT+HbtGh82v307cPMm7zy9aBHw5pt8+LyLi6pLSwhRGmPAL7/wWZsfPuS1NwsX8llSdXVVXTqkpKSgS5cukn3dRiqTnZ0d7OzsJPuenp7IzMzEN998g4EDB0qO1yceqK5BQ9319fXh7OyMtLQ0hdLfunULa9aswU8//YShQ4fCxcUFYWFh6NOnD9auXSv3GhMTE2hqaspEdTk5OTLRX3W6urowNDSUbAYGBop9MEJaCScnYPVq4P59HgT16gU8fQr8+CNfTmPQIF4zVF6u6pISQhRy7x7g7w8EBfHAp3dvPufF55+3iMAHAAwMDKTerY0V/MjTv39/qRjD3Ny8XvFAdQ0KfkpLS5GamgqhghMnPXnyhGeqIZ2tpqYmxDV0WNDR0YG7uztiYmKkjsfExMBLXnsnIWpIX5/3DUpKAuLjgcBAPpN0fDzvE/Tii8DXX1OTGCHNoupwzPh4xYZnMsb/anF0BA4eBHR0gKVLgXPn+ERgaioxMVEqxvD09JSJB44ePap8PKBM7+i5c+ey2NhYdvv2bXbmzBn26quvMgMDA3bnzh3GGGN5eXksMTGRHTx4kAFgu3fvZomJiUwkEjHGGCsrK2Mvvvgi8/HxYWfPnmU3b95k33zzDRMIBOzgwYOSfIYMGcJWr14t2d+9ezfT1tZmmzdvZikpKSwkJITp6+tL8lUUjfYi6uTePcYWLWLMxOT54A99fcY++ICxmzdVXTpCGklLG+0VGclYly7SwzMtLfnxmty+zdjQoc/Te3gwdu1a/fJvwueh7Du0sLCQJSYmssTERAaAffvttywxMZHdvXuXMcbYggULWFBQkCT9d999x6Kjo9mNGzfYtWvX2IIFCxgAFlnl2Z06dYppamqy5cuXs9TUVLZ8+XKmpaXFzpw5o9RnUSr4CQwMZEKhkGlrazMLCwsWEBDAkpOTJee3bNnCAMhsYWFhkjQ3btxgAQEBzNTUlLVv35716tVLZui7tbW11DWMMbZ27VpmbW3NdHR0mJubG4uLi1PqgzJGwQ9RT0+eMLZ5M2POzs//TxQIGBs7lrGTJ1VdOkIaqCUFP5GR/JerauBT+QsnEMgGQBUVjH3/Pf+rBGBMT4+xb75p2PD0FhT8VA5dr74FBwczxhgLDg5mgwYNkqT/8ssvma2tLdPT02MdO3ZkAwYMkKoYqbR3715mZ2fHtLW1mb29vVRwpCgBY+ozef69e/dgZWWFzMxMWFpaqro4hDQrxoC//gK+/ZavMVbJ05NPovjaa80+ASwhDVdcDHTowL8uKuJtwKpQUQF061bz6uoCAZ9wMD2d/6Jdvw5MngycOsXPDxrEm71efLFh5WjC59GW3qG0thchakIgAIYNAw4d4rNGT5nCuxUkJPDJX3v25J2maVFVQurhxImaAx+A//WRmQnExvKp3F1ceODToQOwbh3w998ND3yIwij4IUQNOTgAmzbxpTQ+/hh44QUgLQ2YPp3/8frll3yxaEKIgkQixdJNmcKHrZeWAiNH8r9E3n+fT15Img09bULUmLk58MUX/A/S777jtfIPHgALFvDZoz/+mBZUJUQhCo56xp07fJr2rVt5NWzXrk1ZKlIDCn4IIejQga+PeOsW/z+5Z08gPx+IiACsrfmyGpmZqi4lIS2Yjw//66GuyfYCAoCUFCA4uO60pMlQ8EMIkdDR4f8nX7sGREcDHh68D9Dq1YCtLa+xv3VL1aUkpAXS1OTrzwA1BzXz5gGRkbzKlagUBT+EEBkaGsCYMXwZoaNH+UCUZ8+AzZv5GmLBwcCNG6ouJSEtTEAAX4TU2Fj6ePv2vEr1669VUiwii4IfQtRQhZgh4VYe9idlIeFWHirE8me8EAiA4cP5AJWTJ3n/zIoKvpZYz558DbHU1OYtOyEt1qNHwB9/AFUX+166lI8eCA5WXbmIDKUWNiWEtH5/XhNhye8pEOU/H9MuNNJDmL8DRjrV3GnT25vPD3T+PP///MABYOdOYNcuYMIE4JNPeEBEiFqKjOSrCWdn878aKqfQCwmhCbRaIKr5IUSN/HlNhPd3XJIKfAAgO78E7++4hD+v1T1ct29fYP9+4NIlYOxY/n/8rl18SaI33wT++aepSk9ICyQS8eauN97ggY+9PVBt7SnS8lDwQ4iaqBAzLPk9BfIauCqPLfk9pcYmsOpcXfmK8YmJvH8QY7wmyNEReOst6hhNmkl9FhFtDIzxTnA9e/LRAVpawOLF/Beif//mKQOpNwp+CFET59IfytT4VMUAiPJLcC79oVL37d2b/99/6RIwejQgFgM//8w7Rk+ZwidSJKRJREXxGTsrjRrFZ+mMimrafG/d4tOlT5nC54RwdwcuXAA+/xzQ02vavEmjoOCHEDWRU6jYuhWKpqvO1RXYt4/3CfLz43+Ab94M9OjBu0IoOgEuIQqJiuJNTVlZ0sezsvjxpgiAysuBFSsAZ2e+HIWeHvDVV3xYpItL4+dHmgwFP4SoCVMDxf4iVTRdTfr04RPXnjoFDBnCh8ivXcvnCVqwAHioXMUSIbIqKoDZs593Kq6qakfjxmwCu3IF8PLic/U8fQq8/DJw9SpfFViLxg61NhT8EKImPGyMITTSQ01zygrAR3152BjXkEI5Xl58Ffm//uJdIJ4+5WuG2djw0WJFRY2SDVFHii4ieuJEw/MqKQEWLeJNW+fPA0ZGfPX1v/6ihUhbMQp+CFETmhoChPnz/hHVA6DK/TB/B2hqNO6U+0OGAKdPA7//DvTqxac8+eQT/t5YuxYoK2vU7Ig6ULQNtaFtrfHxvDlr2TLe5PX663xiq8mTaWmKVo6CH0LUyEgnIdZPcoO5kXTTlrmRHtZPcqt1np+GEAiAV1/lA2F27gS6d+cLqM6cyUcG//IL7yhNiEIUXURU0XTV5efzldYHDeJTmQuFvA/Rb7/V/56kRREwJq/RtG26d+8erKyskJmZCUtLS1UXhxCVqRAznEt/iJzCEpga8Kauxq7xqU1ZGe8M/dlnfGoUgI8a+/JLwNe32YpBWquKCj6qKytLfr8fgYAvMpqervwEg/v2ATNmAPfv8/0pU/iyFC+8oPg9iov5asEAb9/V11euDA3RhHm3pXco1fwQooY0NQTwtO2E0b27wNO2U7MGPgBfQPX994GbN4EvvgAMDYGkJGDECL6cxsWLzVoc0trUtoho5f7KlcoFPiIRHyU2diwPfHr0AI4fBzZtUi7wIa0CBT+EEJXR1wc+/hi4fRuYM4cHRceO8RFjb74J3Lmj6hKSFqtyEVELC+njlpb8eECAYvcRi4GNG/lkhZGRPGBauBC4fBkYPLjRi01aBgp+CCEq16kT8O23wPXrwKRJ/NjOnXyixHnz+HqRhMgICABSUp7vHzrEm7oUDXyuX+dD1qdN4/18+vTh1Y7LlgHt2jVNmUmLQMEPIaTF6NaNzw596RIwdCjvG7RiBZ8j6LvvaGQYkaNq09bAgYo1dZWV8fkWevXiI7rat+fRN01WqDYo+CGEtDiurnxtyEOHACcnXvMTGspXMoiMlN/HlRCFJCQAbm58voWyMmDkSCA5mbe70urraoOCH0JIiyQQ8GUykpL4nHLm5nxJpTfeAHx8gHPnVF1C0qoUFPC5Fby9ebBjYgLs2MEj7G7dVF060swo+CGEtGiamnxOubQ04NNPeVeMU6eAfv14/6DMTFWXkLR4Bw4Ajo58Vk3GgOBg4J9/eK/6tjZZob4+/4yMNe8Q+1aGgh9CSKvQoQOwZAkPgoKD+bFffuGdoj/9lJbLIHLcv89nZR49mi+H0b07b0/dupX3sidqi4IfQkir0qULf3dduMCbv54+BT7/HHjpJWD7dpopmoD/EKxfz4evR0Xx6sMFC/hCpMOGqbp0pAWg4IcQ0iq5uwNxcbwDdPfufI664GDA05P3aSVqKjmZR8X/93+8n4+HBx8+GBHBR3URAgp+CCGtmEDwfKqXL7/kTWPnzvEV5d98s/aFv0kbtGQJHyp4+jT/Yfj+e/51r16qLplaio+Ph7+/PywsLCAQCLBv375a00dFRWH48OHo3LkzDA0N4enpiSNHjkil2bp1KwQCgcxWUlKiVNmUCn7Cw8NlMjQ3N5cq+IgRI2BiYgKBQICkpCSp6+/cuSO30AKBAHv37q13voSQtq9CzJBwKw/7k7KQcCsPFeLn4911dYGPPuL9gd59lwdFlZMkfvEFoOT/i6S1+vpr4Nkz4LXXeET8wQc0fF2FiouL4eLigjVr1iiUPj4+HsOHD8ehQ4dw8eJFvPzyy/D390diYqJUOkNDQ4hEIqlNT0+vhrvKp6VUagCOjo44duyYZF+zyg9WcXExvL29MW7cOEydOlXmWisrK4hEIqljGzduxFdffQU/P79650sIadv+vCbCkt9TIMp/HsUIjfQQ5u8gtRK9uTlfMPX//g+YNYv/0b94MT+2YgUwZkzbG9yj1nJzgdmzn++bm/MRXWPH0je6BfDz86vz3V7VypUrpfaXLVuG/fv34/fff4erq6vkeGNUgCgd/GhpadWYaVBQEABewyOPpqamzLXR0dEIDAxEh8pVaOuRLyGk7frzmgjv77iE6vMaZueX4P0dl7B+kptUAATw/kAnTwK7dvEaocoVD4YO5S0hDg7NV37SBBgDtm3ja5/k5T0/fvGi7FpfpNUSi8UoLCyEsbGx1PGioiJYW1ujoqICvXv3xueffy4VHClC6T4/aWlpsLCwgI2NDSZMmIDbt28rewuJixcvIikpCZMnT26SfEtLS1FQUCDZCgsL611WQkjzqxAzLPk9RSbwASA5tuT3FKkmsEoCAfC///HpXBYv5k1jf/3FVy8IDeVLOZFW6MYNHsW+8w4PfBwdn58zMlJdudRIYWGh1Lu1tLS0SfJZsWIFiouLMX78eMkxe3t7bN26FQcOHMCuXbugp6cHb29vpKWlKXVvpYKffv36Yfv27Thy5Ag2bdqE7OxseHl5Ia9q5K2EzZs3o2fPnvDy8mqSfCMiImBkZCTZHOjPPUJalXPpD6WauqpjAET5JTiX/rDGNB068KHwKSl8upfycr5OmJ0dHzJPQ+NbidJS4LPPAGdn4PhxPtvl8uW8io80KwcHB6l3a0RERKPnsWvXLoSHh2PPnj0wNTWVHO/fvz8mTZoEFxcX+Pj44Ndff8VLL72E1atXK3V/pYIfPz8/vP7663B2dsawYcNw8OBBAMC2bduUyhQAnj59ip07dypU61PffBcuXIj8/HzJllJ19V9CSIuXU6hYT2VF0nXvDuzbBxw+zOcEevCAVx4MGABU609JWpr4eKB3byAsjK/HNWIEcO0aMH8+oK2t6tKpnZSUFKl368KFCxv1/nv27MHkyZPx66+/Ylgd8zJpaGigb9++TVvzU52+vj6cnZ2VzhQAfvvtNzx58gRvvfVWk+Wrq6sLQ0NDyWZgYKB0XoQQ1TE1UGwEh6LpAL6O5dWrfGi8vj6fE6hPH2DGDOBhzRVIRBXy8vjaJoMG8fZLMzPekevwYR7NEpUwMDCQerfq6uo22r137dqFt99+Gzt37sQrr7xSZ3rGGJKSkiAUCutMW1WDgp/S0lKkpqYqnSnAm7xee+01dO7cuVnzJYS0Hh42xhAa6aGmcTsC8FFfHjbGNaSQT0eHd4S+fh2YMIE3fa1bx5vCfvqJmsJUrrJDs709/4YAwHvvAamp/BtGI7lahaKiIiQlJUmmvUlPT0dSUhIyMjIA8NaZqhUgu3btwltvvYUVK1agf//+yM7ORnZ2NvKrdNBbsmQJjhw5gtu3b0v6DCclJWH69OlKlU2p4GfevHmIi4tDeno6zp49izfeeAMFBQUI/m+hnYcPHyIpKUnSvHT9+nUkJSUhOztb6j43b95EfHw8pkyZIjefoUOHSs0LUFe+hJC2SVNDgDB/3lev+uuucj/M3wGaGvV7GXbpwisSjh/n/WZzc3lFg7c3NYWpzPXrwJAhwNtv82+IkxNfyXbDBqBjR1WXTjG0uCgA4MKFC3B1dZWMxAoNDYWrqys+/fRTAIBIJJIEQgCwYcMGlJeXY8aMGRAKhZJtdpXpDB4/foz33nsPPXv2hK+vL7KyshAfHw8PDw/lCseUEBgYyIRCIdPW1mYWFhYsICCAJScnS85v2bKFgfdBlNrCwsKk7rNw4UJmaWnJKioq5OZjbW0tdU1d+SoqMzOTAWCZmZlKX0sIUZ3DV++z/suOMev5f0i2/suOscNX7zdaHmVljH3zDWMdOvC3loYGYzNmMPboUaNlQWrz5Aljn3zCmI4O/wa0a8fY8uX8G1OboqLKMIN/TZpMW3qHChhj8kaRtkn37t2DlZUVMjMzYWlpqeriEEKUUCFmOJf+EDmFJTA14E1d9a3xqU1WFp8+Zvduvm9qyidIfPNNam1pMjExwPvvA7du8X0/Pz5ZoY2NastFpLSldyit7UUIaRU0NQTwtO2E0b27wNO2U5MEPsDzprBjx3gfoJwcICiIt8SkpjZJluorO5tPxuTrywMfCwtg717g4EEKfEiTouCHEELkGDoUuHyZrw2mpwfExvIJEj/+GHjyRNWla+UqKngPc3t7HmlqaPBlKlJTgTfeoCo20uQo+CGEkBro6vJgJyUFePVVvmZmRATvHH3okKpL10pdugR4evK5BfLz+TwD584BK1cChoaqLh1RExT8EEJIHWxsgAMHgOhowMoKuHMHeOUVXklx756qS9dKFBTw2p2+fYHz53mgs3YtcOYMX4yNkGZEwQ8hhChAIOCrwqek8A7RmppAZCTQsyewahVvySFyMAbs2cObuL7/nk+iNGECn7Tw//6PP0hCmhkFP4QQooQOHYCvv37eelNUBISEAB4efFFxUkVaGl+KYsIEQCQCevQAjh7l/XxoklqiQhT8EEJIPfTqxdfU3LABeOEFHgx5ePCWncJCVZdOxUpK+DpcTk58GLuuLrBkCXDlCjB8uKpLRwgFP4QQUl8aGnzVhX/+4SO2xWLestOzJ19EVS39+ScPej77THoR0k8/5cPmCGkBKPghhJAGMjMDfvmFt+h0784nShw7lm9q0yH63j1g3Dg+QeGtW3zCpL17+SKkL76o6tIRIoWCH0IIaSTDh/MV4xcsALS0eO2PgwOwZk0b7hD97BnvBGVvD/z2G+/AHBpKc/aQFo2CH0IIaUTt2/O5gC5dAvr35/1/PvgAGDCAB0ZtSlwc4OoKfPQRUFzMV4S9dImvB2JgoOrSEVIjCn4IIaQJODvzxcjXruVxwJkzgJsbsHgx7w/cqmVn8zU/Bg8GkpMBExNgyxYgPp73BCekhaPghxBCmoiGBp/KJjWVzxFUXs6Xy+jVi1eatDrl5cDq1XzRsx07eJPWtGnA9evA22/zD0xIK0A/qYQQ0kQqxAwJt/Jw4d8sfPRNHn6LZBAK+fQ3gwfzkWKPH6u6lApKSOCzM8+axWdr7tMHOHsW+OEHwNhY1aUjRClaqi4AIYS0RX9eE2HJ7ykQ5T9v4xIa6WF1tANitgixYQOwaRPw+++8aSwgQIWFrU1ODu/BvWUL3+/YkXdqmjKFZmcmrRbV/BBCSCP785oI7++4JBX4AEB2fgnmRV/CmJkixMUBL73Eu8+8/joPfkQiFRVYnooKHpXZ2T0PfCZP5k1c06ZR4ENaNQp+CCGkEVWIGZb8ngIm51zlsSW/p8B7AMPly8CiRXxYfHQ0nxxx82a+HJZKnT7Nm7VmzuTtcq6uvNnrxx+Bzp1VXDhCGo6CH0IIaUTn0h/K1PhUxQCI8ktwLv0h9PSApUv5mmB9+gD5+bw1adgwPk9gs3vwgHdc9vYGkpL4uh1r1/JV2Pv3V0GBCGkaFPwQQkgjyilUbBx71XS9evGKlW++Adq1A/7+mw+V/+67Zpocsbycr8vx0kvAtm382OTJwI0btPI6aZMo+CGEkEZkaqDY+lXV02lpAXPn8okQX34ZePqUT5Ts7c2n0mkylRMVzp7NR3G5u/NJiaiJi7RhFPwQQkgj8rAxhtBIDzUt6iAAH/XlYSN/eLitLfDXX8DGjYChIR9N7uoKfP45X0mi0WRl8dVYBw/mC48aG/Nh62fPAv36NWJGhLQ8FPwQQkgj0tQQIMzfAQBkAqDK/TB/B2hq1LzmlUAATJ3Ka3xefZUHPZ9+yqfZuXSpgQUsLQW+/JKP4tq1i2f2/vu8iYtGcRE1QcEPIYQ0spFOQqyf5AZzI+mmLXMjPayf5IaRTkKF7mNpCRw4wFeM79QJuHwZ8PAAPv64nktkHD7MOxMtWMDX4vL0BC5cANat4xkQoiYEjKl8UGWzuXfvHqysrJCZmQlLS0tVF4cQ0sZViBnOpT9ETmEJTA14U1dtNT61ycnhC6T++ivf79kT+OknBQdh3boFzJnDZ1QEADMz4KuvgEmTpJekKC4GOnTgXxcVAfr69SoraZva0juUan4IIaSJaGoI4GnbCaN7d4Gnbad6Bz4AYGoK7NkDREby2CU1lXeGnjePd46Wq6iITyTk4MADn8pe1TduAG+9RWtxEbVFP/mEENKKBAQAKSm80kYsBlasAFxcgJMnqyRiDNi5k/frWbYMKCsDhg8Hrlzh4+kNDVVWfkJaAgp+CCGklTE2Bn7+mVfmWFjwhVIHDuQtW09PJ/KdN98E7t8HbGyAffuAI0d4WxkhRLngJzw8HAKBQGozNzeXnI+KisKIESNgYmICgUCApKQkqevv3Lkjc33ltnfv3lrzXrduHWxsbKCnpwd3d3ecOHFCmaITQkib8+qrfETY228Dndi/6LnyPeh6u/NqoHbt+PTRKSnA6NF8VBchzSg+Ph7+/v6wsLCAQCDAvn376rwmLi4O7u7u0NPTQ/fu3fHDDz/IpImMjISDgwN0dXXh4OCA6OhopcumdM2Po6MjRCKRZLt69arkXHFxMby9vbF8+XK511pZWUldKxKJsGTJEujr68PPz6/GPPfs2YOQkBAsWrQIiYmJ8PHxgZ+fHzIyMpQtPiGEtCkv6D/DFpeVuK/fA+9hEzTAsBMTET7xOp7MWQToKTbpIiGNrbi4GC4uLlizZo1C6dPT0zFq1Cj4+PggMTERH3/8MWbNmoXIyEhJmoSEBAQGBiIoKAiXL19GUFAQxo8fj7NnzypXOKaEsLAw5uLiUme69PR0BoAlJibWmbZ3797s3XffrTWNh4cHmz59utQxe3t7tmDBgjrvX1VmZiYDwDIzM5W6jhBCWqTDhxmzt2eM9/Jh5b1c2bJRJyp32YsvMnbihBL3KyqS3IsVFTVZsUnr1JB3KAAWHR1da5qPPvqI2dvbSx2bNm0a69+/v2R//PjxbOTIkVJpRowYwSZMmKBUeZSu+UlLS4OFhQVsbGwwYcIE3L59W9lbSFy8eBFJSUmYPHlyjWnKyspw8eJF+Pr6Sh339fXF6dOna71/aWkpCgoKJFthYWG9y0oIIS3GjRu8zcvPD/jnH74MxcaN0Lx0HgsPDsDhw3yOoJs3efef0FDgyRNVF5q0FYWFhVLv1tLS0ka5b0JCgsy7fsSIEbhw4QKe/Te9eU1p6ooHqlMq+OnXrx+2b9+OI0eOYNOmTcjOzoaXlxfy8vKUyrTS5s2b0bNnT3h5edWYJjc3FxUVFTAzM5M6bmZmhuzs7FrvHxERASMjI8nm4OBQr3ISQkiL8Pgxj2QcHYGDB58PXU9L41NC/zc788iRfMWKd9/l1TjffQf07g0o+X4gRC4HBwepd2tERESj3Dc7O1vuu768vBy5ubm1pqkrHqhOqeDHz88Pr7/+OpydnTFs2DAcPHgQALCtchVgJTx9+hQ7d+6stdanKkG1znqMMZlj1S1cuBD5+fmSLSUlRelyEkKIylVU8HW3evTgkUx5OTBqFI9wvvkGMDKSucTICNi8mcdIlSPCfHyAjz6q5+zQhPwnJSVF6t26cOHCRru3vHd99eP1iQeqa9BQd319fTg7OyMtLU3pa3/77Tc8efIEb731Vq3pTExMoKmpKRPV5eTkyER/1enq6sLQ0FCyGRgYKF1OQghRqb//Btzc+PpbubmAvT1fpuLgQT6PTx0qY6S33uLzAn39Nb/d+fNyEldUPP86Pl56n5D/GBgYSL1bdXV1G+W+5ubmct/1Wlpa6PTf8is1pakrHqiuQcFPaWkpUlNTIRQqtk5NVZs3b8Zrr72Gzp0715pOR0cH7u7uiImJkToeExNTa3MZIYS0amlpwJgxwNChfHLCjh2BVav41yNHKnWrjh2BbduA/fufzw7t6QksXsznPwQAREXxmaArjRoFdOvGjxPSDDw9PWXe9UePHkWfPn2gra1daxql4wFlekfPnTuXxcbGstu3b7MzZ86wV199lRkYGLA7d+4wxhjLy8tjiYmJ7ODBgwwA2717N0tMTGQikUjqPmlpaUwgELDDhw/LzWfIkCFs9erVkv3du3czbW1ttnnzZpaSksJCQkKYvr6+JF9F0WgvQkiL9+gRY3PnMqatzUddaWoyNnMmY7m5jXL73FzGJkx4PqjLxYWx9BWRjAkEzw9WbgIB3yIjGyVv0rop+w4tLCxkiYmJLDExkQFg3377LUtMTGR3795ljDG2YMECFhQUJEl/+/Zt1r59ezZnzhyWkpLCNm/ezLS1tdlvv/0mSXPq1CmmqanJli9fzlJTU9ny5cuZlpYWO3PmjFKfRangJzAwkAmFQqatrc0sLCxYQEAAS05OlpzfsmULAyCzhYWFSd1n4cKFzNLSklVUVMjNx9raWuaatWvXMmtra6ajo8Pc3NxYXFycMkVnjFHwQwhpwZ49Y2zNGsY6dXoefPj5MZaS0iTZ/forz0oD5SwDlkxcPfCpGgBZWTFWXt4k5SCth7Lv0OPHj8uNCYKDgxljjAUHB7NBgwZJXRMbG8tcXV2Zjo4O69atG1u/fr3Mfffu3cvs7OyYtrY2s7e3Z5H1CM5pVXdCCFElxoA//+SjtlJT+bGePfmiXbVM/toYHjwAVr8ei6WnXq478fHjwODBTVoe0rK1pXcore1FCCGqcvUq778zahQPfDp1Atau5f16mjjwAXj/n8//T6RYYpGC6QhpBbRUXQBCCFE72dnAp5/ysehiMaCtDcyeDSxaBLzwQrMWRWCh4ICVegxsIaSlouCHEEKay5MnfJ6e5cuBoiJ+7I03+L6trUqKVOE9ALmGJuhckCu3KUAMIMeoMzp7D4BmcxeOkCZCzV6EENLUxGJg+3Y+L8/ixTzw8fAATpwA9u5VWeADAOcy8vHpkPd4Maudq9wPe3kq/kzKb9ZyEdKUKPghhJCm9PffgLs7EBwM3LsHWFsDO3cCCQnAgAGqLh1yCktwxM4L74/5GA86dJI6l21ggvfHfIwjdl6YPKMEVRbXJqRVo+CHEEKaQnIy78w8dCiQlMTXm/jqK74Q6cSJgEbL+O/X1EAPAHDEzgvDJq+THH/rjXAMmL4ZR+z45HGPs/XwxhtAUBBfYoyQ1qxl/PYRQkhbcf8+X2S0Vy/gyJHnxy9fBj78ENDTU13Z5PCwMYbQSA8CAGKN5716zls5QayhCQEAoaEeQoOMoaEB7NgBODsDf/2lsiIT0mAU/BBCSGMoLOQjuHr0AH78kffzee215+dNTFRXtlpoaggQ5s+Xtai+NGTlfthrDlj2hQAnTwIvvshb74YN4wPUnj5t1uIS0igo+CGEkIZ49ozPzWNrC3z+OR/R5ekJnDzJ+/a0AiOdhFg/yQ1mRtILVJob6WH9JDeMdOLD3D09eQve++/z899/D7i6AhcuNHOBCWkgCn4IIaQ+GAN++40vBjpzJvDvv7zWZ+9e4NQpwNtb1SVUykgnIY6FDpbsb32nL07OHyIJfCrp6wPr1vGF5YVC4Pp1HhR9/jlQXt7MhSaknij4IYQQZcXGAv37A+PGATdvAqamvPYnOZnP2yP4r8GoouL5NfHx0vstkKbG84avft07Se1XN3Ikn6B63Dge9Hz6KR+8lpbWHCUlpGEo+CGEEEVducKXonj5ZeDcOV4N8umnPAD6v//jMzVXioritUKVRo0CunXjx9uITp2APXt4J2gjI+DsWaB3b2DDBl4xRkhLRcEPIYTUJT2dj/Hu3Zu392hp8WDn5k1gyRLAwEA6fVQUrwHKypI+npXFj7ehAEggAN58k9cCDRnCuzxNn877ej94oOrSESIfBT+EEFKTnBw+pMnOjldvMMbbeVJSeDOXubnsNRUV/Bp5VR+Vx0JCWnwTmLKsrICYGODbbwFdXeCPPwAnJ2D/flWXjBBZFPwQQkh1BQVAWBgfwfX993xE1/DhwPnzwK+/8o7NNTlxgo8FrwljQGYmT9fGaGgAc+bw0V+9egG5ucCYMcCUKc+XMiOkJaDghxBCKpWU8KqL7t2Bzz7jb+w+fYBjx4CjR/nXdRGJFMtL0XTNSV+fB2eM8a/rycmJd4n68EPeLLZ5M28xTEhovKIS0hAU/BBCSHk5n5iwRw9g7lwgL483de3dy9/iQ4cqfi+hsO40yqRrpXR1+Woex48DXbsCt27x0WBhYbwijRBVouCHEKK+xGJg924+KmvqVN5cZWnJqyquXZMetq4oHx9+j5quEwh4Bxkfn4aXvxUYNIgPkps0iT/uzz6jIfFE9Sj4IYS0DsXFPHAQCPjXDcEY8PvvfHriiRP5m9jEhDd5paUB777LR3TVh6YmsGoV/7p6AFS5v3IlT6cmjIyAn3/mceYLL/DKtN69gU2baEg8UQ0Kfggh6oMxPiSpf38+FvvKFf5m/vxz4PZt3lu3MRYeDQjgsz9bWEgft7TkxwMCGp5HKxQYyB/5yy/zIfHvvQeMHcsnxyakOVHwQwhRDydOAIMHA76+vOqhfXtg/nwe9CxeLDtXT0MFBPAh8ZUOHeLzBalp4FPJyor3H//6az4n5P79fJX4P/9UdcmIOqHghxDStp05wwOegQP5EhM6Onwentu3geXLAWPjpsu7atPWwIFq1dRVGw0NYN48HoM6OPDJEP38aJV40nwo+CGEtE0XLgCvvMJX3YyJ4X143nuPz8q8ciVgZqbqEqq93r35t2nmTL7//fdA3768aYyQpkTBDyGkdVB0kdDERGD0aP4WPXSI17a8+y5w4wZfdMrKqnnKSxTSrh2wejX/VpmZ8bVh+/bl8alYrOrSkbaKgh9CSMunyCKhSUm896ybG3DgAG9bCQoCUlP50HUbm+YuNVGCnx+v8fH3B8rKeN9zP7+WORckaf0o+CGEtGx1LRK6YgXvROzqCuzb93ylzeRkYPv22peiIC2KqSnvAL1+Pa8ROnqUd4am9cFIY6PghxDSctW1SChjvOdsdDQPeiZO5COsduwA7O2bv7zVNdJyEepEIOCrwl+8yPsE5eXx9cGmT+fD4wlpDBT8EEJarroWCa00ZAifkXnnzpYR9JAG69mTD9SbN4/vb9gAuLvzLl2ENJRSwU94eDgEAoHUZm5uLjkfFRWFESNGwMTEBAKBAElJSXLvk5CQgCFDhkBfXx8vvPACBg8ejKe1jG+sK19CSBulaIePKVOk+wSRNkFXl88HFBPD54v85x+gXz/e0lnZGbpCzJBwKw/7k7KQcCsPFWKaMrolWbduHWxsbKCnpwd3d3ecOHGixrRvv/22zLteIBDA0dFRkmbr1q1y05SUlChVLqXnb3d0dMSxY8ck+5pV5q0oLi6Gt7c3xo0bh6lTp8q9PiEhASNHjsTChQuxevVq6Ojo4PLly9DQqD0Oqy1fQkgbpegfOW18kVB1N2wY7ww9ZQrv1jVvHp8U8d1PRfj+ZApE+c9ffEIjPYT5O2CkE/1MqNqePXsQEhKCdevWwdvbGxs2bICfnx9SUlLQtWtXmfSrVq3C8uXLJfvl5eVwcXHBuHHjpNIZGhri+vXrUsf0lJyZXengR0tLq8Zal6CgIADAnTt3arx+zpw5mDVrFhYsWCA51kOBDom15UsIaWMYAw4e5MtO1EYg4EtGqMkioeqsUyfe933TJiAkBDiVIcKNPy7JLJ+WnV+C93dcwvpJbhQAqdi3336LyZMnY8qUKQCAlStX4siRI1i/fj0iIiJk0hsZGcHIyEiyv2/fPjx69AjvvPOOVLrGaP1Rus9PWloaLCwsYGNjgwkTJuD27dsKX5uTk4OzZ8/C1NQUXl5eMDMzw6BBg3Dy5Mkmybe0tBQFBQWSrbCwUOGyEkJUoKIC+PVXPnLL359PAaytzc/RIqFqTyDg81Sev8Bg5pciN01lo9eS31OoCayJFBYWSr1bS0tLZdKUlZXh4sWL8PX1lTru6+uL06dPK5TP5s2bMWzYMFhbW0sdLyoqgrW1NSwtLfHqq68isR4dwZQKfvr164ft27fjyJEj2LRpE7Kzs+Hl5YW8vDyFrq8MWMLDwzF16lT8+eefcHNzw9ChQ5GWltbo+UZEREgiSSMjIzhQnwBCWqbSUuDHH3kv18BA4PJloEMH4MMPgYwMIDKSFgklEgW6D8H0SmTi4UoMgCi/BOfSHzZrudSFg4OD1LtVXi1Obm4uKioqYFZtJnUzMzNkZ2fXmYdIJMLhw4cltUaV7O3tsXXrVhw4cAC7du2Cnp4evL29a40h5FGq2cvPz0/ytbOzMzw9PWFra4tt27YhNDS0zuvF//VQmzZtmqQay9XVFX/99Rd++uknuQ+wIfkuXLhQ6nxWVhYFQIS0JIWFvB1jxQrg/n1+rGNHYNYsvlWuuxUQwDt+VFaJHzrE1+uiGh+1lFOoWOdWRdMR5aSkpKBLly6SfV1d3RrTCqpFqIwxmWPybN26FS+88ALGjBkjdbx///7o37+/ZN/b2xtubm5YvXo1vv/+ewU/QT36/FSlr68PZ2dnhSMu4X+dEqsHID179kRGRkaj56urqyv1TSkoKFA4D0JIE8rJ4WsarF0LPHrEj1lYAHPn8naNDh1kr6FFQsl/TA0U69yqaDqiHAMDAxgaGtaaxsTEBJqamjK1PDk5OTK1QdUxxvDTTz8hKCgIOjo6tabV0NBA3759la75adA8P6WlpUhNTZUENXXp1q0bLCwsZHpp37hxQ6ZNrzHzJYS0ELdvAzNmANbWwNKlPPDp0QPYuJGfCw2VH/gQUoWHjTGERnqoqf6AMYAV66HwtnGzlos8p6OjA3d3d8TExEgdj4mJgZeXV63XxsXF4ebNm5g8eXKd+TDGkJSUpHQ8oFTwM2/ePMTFxSE9PR1nz57FG2+8gYKCAgQHBwMAHj58iKSkJKSk8I5o169fR1JSkiTyEwgE+PDDD/H999/jt99+w82bN/HJJ5/gn3/+kfqQQ4cOxZo1axTOlxDSwp07B4wbxwOddeuAkhK+euVvv/G1t6ZO5ZO6EKIATQ0Bwvx5C4K8AEgA4N+jDhjhK8BHH/G1wkjzCw0NxY8//oiffvoJqampmDNnDjIyMjB9+nQAvGvKW2+9JXPd5s2b0a9fPzg5OcmcW7JkCY4cOYLbt28jKSkJkydPRlJSkuSeilKq2evevXuYOHEicnNz0blzZ/Tv3x9nzpyR1NocOHBAakjahAkTAABhYWEIDw8HAISEhKCkpARz5szBw4cP4eLigpiYGNja2kquu3XrFnJzcxXOlxDSAonFvG/ON98AcXHPj/v58Y7MgwfLjuCqTeVSEYQAGOkkxPpJbljyu+w8PwtGOOBIoRDrb/BJEo8fB3btAl58UYUFVkOBgYHIy8vDZ599BpFIBCcnJxw6dEjy7haJRDJdXvLz8xEZGYlVq1bJvefjx4/x3nvvITs7G0ZGRnB1dUV8fDw8PDyUKpuAMfX53+TevXuwsrJCZmYmLC0tVV0cQtqmp0/5gqLffQdUNnFraQH/+x+fnc7ZWbXlI21KhZjhXPpD5BSWwNRADx42xtDU4EF1dDQweTJvXe3QgXcxk1PRQBTUlt6hDerwTAghEtnZvElr/XqgsubWyIh3YJ41iw9NJ6SRaWoI4GnbSe65sWN56+qkSbzyMTiYrxS/bh1QR39d0sbRwqaEkIZJSuJvla5d+YzMubm8Q/N33wGZmcBXX1HgQ1TG0hL46y/+o6mpCfzyC59D89w5VZeMqBIFP4QQ5ZWX8zaFwYP5m2T7duDZM8DLi8/QfPMmX4PAwEDVJSUEmprA4sW89qdrVz6w0Nubx+WVC6QS9ULBDyFEcQ8f8h6kL77IJx6Mi+P9eSZOBM6eBU6d4qO6tKhFnbQ83t588vBx43j8Pn8+MHIkb7El6oWCH0JI3ZKS+HB0S0vgo4+Au3f5SpMffwykpwM7dwJKjrYgRBVeeAHYs4dPLN6uHRATA7i48FXiifqg4IcQIl9ZGbB7NzBgAG/a+vFHPpLLxQX46Sfen+eLL6g/D2l1BAJgyhTg4kWgVy8+4bifHx+MSHMCqQcKfggh0u7eBRYt4p0jJk7kTVlaWnzB0fh4IDEReOcd/mczIa1Yz568tXbGDL6/YgVvGrt5U7XlIk2Pgh9C1FFxMf/zVyDgX1dUAIcPA6+9BnTvDixbBjx4AAiFQHg4X1l9927Ax0e5iQkJaeH09IA1a3j//Y4dgQsXADc33pJL2i4KfghRd8uX84Bn1Cjg99/58JchQ/jSE3fvAmFhPAgipA0bM4Z3hvbxAQoLgTff5BWcRUWqLhlpChT8EKJuyst5LU+lpUt5zU7Hjnx4+j//8IlRXn8d0NZWWTEJaW5WVsDffwOffgpoaABbtwJ9+vD+/qRtoeCHEHVx+zaf7MTamo/1reToyOfpuX+fT0xoZ6e6MhKiYlpawJIlPAiysOArtPTvz5fGUHQxqAoxQ8KtPOxPykLCrTxUiNVmFalWgybjIKQtKy4GIiOBLVuA2NjnxzU0ns/ulpzMh6zr6/O5ewghGDSIN4O98w7wxx/AzJnAsWPA5s2AsXHN1/15TSR3sdUwfweMdKLm45aCan4IaWsYA06e5GN5hUK+9ERsLO+o3Ls3T1N9WtusLOCNN4CoqOYuLSEtlokJcOAAsHIlbwHet4//Cp06JT/9n9dEeH/HJanABwCy80vw/o5L+POaqKmLTBREwQ8hbcWtW3xk1osv8l6bmzfznpu2tnxho1u3ni84Wl1lfX5ICB/5RQgBwP9mmD0bOHOG/2plZvJaoWXLpP+GqBAzLPk9BfIauCqPLfk9hZrAWggKfghpzXJz+RLV3t78f+YlS3jfng4dgLff5stPpKXxvj537wL37tV8L8b4/+wnTjRb8QlpLdzcgEuX+Ciwigo+FdaIEc+XxjiX/lCmxqcqBkCUX4Jz6Q+bp8CkVtTnh5DWpriY18X/8gtw5AgfvQXwfjzDhwNvvcXH7bZvL32dSMEqd0XTEaJmDAyAn38Ghg3jEyMeO8YnPN+xA3jSuebAp6qcQsXSkaZFwQ9pGhUVvAZBJOL9Tnx8+NLKpH5KSvjiQ7t387l4njx5fs7Njf85OmECH55SE0Xn6qE5fQipkUDAK1X79+eTnl+5wmuA3pmvp9D1pgaKpSNNi4If0viiooBZs3gn2kqWlsCqVTSaSBklJcDRo3yywf37gYKC5+dsbXmw8+abfI5+Rfj48O9DVpb8MbsCAT/v49M45SekDbO35/2AQkOBH34AfvrSGDaz9SDWlV+zIwBgbqQHD5tahoqRZkN9fkjjiorio4aqBj5A840mqr5sQ3NprHyfPOHz7L/5JmBqCowezevZCwp4YDJ3LnD+PO/Hs3Sp4oEPwGveVq3iX1dfoqJyf+VKqqEjREHt2gHr1wO//goYGgiQfchB/t8V//0b5u8ATQ1aHqYloOCHNJ6KCj4sQt5vf1sfTVT1M8XHK/cZHz7kkwyOHcvH1gYE8IWFCgt5wBMSwoeu370LfPMNn3K2vutrBQTwmqTqzWOWlvw41cwRorRx4/gs0M4vCPHvPjeUF0g3bZkb6WH9JDea56cFoWYv0nhOnFB8NNHgwU1ThupBiK9v09dkVDbzVRo1qu5mvlu3eKflAwf486habhsbHgiNGwd4ePCOzI0pIID32DQy4vuHDjXPcyKkDbOx4b/KH38sxIpvzaFr+RAvOpcgfL4exg4wphqfFoaCH9J4VD2aqD5BSGPk+cYbsrVdlc18lbUpz54Bp08DBw/yLSVFOr2jI19La+xYPnykqVdOrxroDBxIgQ8hjUBHh1fOvvyyAMHBnZB8CHj3BFC+kXfRIy0HBT+k8ahyNJGiQUhjqquZTyAApk4Fdu0CYmKA/Pzn5zU1+Uxpr70G+PvzVdUJIW3CK6/wZrD//Y/XBk2cCBw/zrvUtWun6tIRABAwpuhSba3fvXv3YGVlhczMTFhaWqq6OG1PRQXQrVvdo4nS0xu3pqEy35qa3Joq39hY4OWXFU9vYgL4+fEaqREj+CrqhJA2q7yczzv6xRf8v0RnZ2DPHuXGKbQkbekdSh2eSeNR1WgiZfoaNaaMDMXSBQTwMbHZ2bxj84QJFPgQoga0tPjKMkePAmZmwNWrfLzCtm2qLhmh4Ke1qKjgNQ27dvF/W+qIKVWMJmquvkZPn/LlIpYsAYYM4QuHKuKDD4B+/ahfDSFqatgw3gw2ZAifzeLtt/nWnLNxEGnU56c1aG2TBgYE8PlpmmuG56bqa5SdDSQk8CWcT57kC/s8eyadRkNDdoX0SjRpICHkP+bmvAZo2TK+/vC2bcC5c3yOICcnVZdO/ShV8xMeHg6BQCC1mZubS85HRUVhxIgRMDExgUAgQFJSktz7JCQkYMiQIdDX18cLL7yAwYMH4+nTp7XmvW7dOtjY2EBPTw/u7u44oS6LL6p60sD60tTkw9knTuT/NmWtR+XMxTWNkBIIACur2oOQJ0/4aKyVK3mzVLduPFgKCABWrADOnuWBj1DI57Rfv56P2Pr11+eTG1bPE6BJAwkhEpqawCefAH//zf8rSU3ls1n89JP8bpJtgTLv7tjYWJkYQyAQ4J9//pFKFxkZCQcHB+jq6sLBwQHR0dHKF4wpISwsjDk6OjKRSCTZcnJyJOe3b9/OlixZwjZt2sQAsMTERJl7nD59mhkaGrKIiAh27do1duPGDbZ3715WUlJSY767d+9m2trabNOmTSwlJYXNnj2b6evrs7t37ypTfJaZmckAsMzMTKWuU5nycsYsLRnjvxeym0DAmJUVYw8fPj926BC/rjEUFT2/b1FR49yzqURG8uchEMg+I4GAn6+Un8/YiROMrV7N2NtvM+bkxJiGhvzn6+jI2LRpjG3fztjt24yJxfLz7tJF+lorK+k8CSGkigcPGPP1ff5fRlAQY4WFqi5V7ZR9hyr77j5+/DgDwK5fvy4VZ5RXeaedPn2aaWpqsmXLlrHU1FS2bNkypqWlxc6cOaPUZ1E6+HFxcakzXXp6eo3BT79+/djixYuVyZZ5eHiw6dOnSx2zt7dnCxYsUOo+rSL4KS9n7PhxxnbuZOy772oOfKpuJibS+5aWz1+8+fn1D4wacq0qyAtCzM0ZmzuXsU8/ZSwggLHu3Wt+jubmjL36KmNffMHYsWP88yuq6vft+PGW/6wIISpXUcHYsmWMaWry/4Ls7Rm7ckXVpaqZsu9QZd/dlcHPo0eParzn+PHj2ciRI6WOjRgxgk2YMEGhMlVSusNzWloaLCwsYGNjgwkTJuD27dsKX5uTk4OzZ8/C1NQUXl5eMDMzw6BBg3Dy5MkarykrK8PFixfh6+srddzX1xenT5+uNb/S0lIUFBRItsLCQoXLqhJRUYC1NR8+/b//AXPmKHZdbq70fmWT2EcfAQ4Oz4+PGsWbcxRpKouKqv+1zYkxIC+PN54XF0vPJKalxfvtrFgBfPYZL3vlz6ulJZ+M49NP+aKhWVm8f9LvvwMffwwMHQoYGipejuZs5iOEtAkaGsDChXwMS5cuwD//8GawH39s2c1ghYWFUu/W0tJSmTQNeXe7urpCKBRi6NChOH78uNS5hIQEmXuOGDGizntWp1SH5379+mH79u146aWX8ODBAyxduhReXl5ITk5Gp06d6ry+MlAKDw/HN998g969e2P79u0YOnQorl27hh49eshck5ubi4qKCpiZmUkdNzMzQ3Z2dq35RUREYMmSJUp8QhWqaZK++qi8x9dfy55TZNI/VUwYWJuiIj5U/e5d4M4dvqWn8yUibt0CHj+Wf115OdChA5892cmJ/+viwjcFfl4JIaQ5DBjAR4O99RZw+DCfGzU2lq8W36GDqksny6HqH8YAwsLCEB4eLnWsPu9uoVCIjRs3wt3dHaWlpfj5558xdOhQxMbGYuDAgQCA7OzsesUD1SkV/Pj5+Um+dnZ2hqenJ2xtbbFt2zaEhobWeb34v1Ex06ZNwzvvvAOAR3h//fUXfvrpJ0RERNR4raBah1LGmMyx6hYuXChVrqysLJlvWotQ20zBja1y5uGQED4iq3oNhSKzFtd0rTIqKviCnv/+y2uuHjzgtTQiEf/3/n0+d8+9e9IzI9ekSxegRw/A3p5vdnb8365dG39tLEIIaWQmJsAff/C/WRctAn75BbhwgY+p6NVL1aWTlpKSgi5dukj2dXV1a0yrzLvbzs4OdnZ2kn1PT09kZmbim2++kQQ/yt6zJg0a6q6vrw9nZ2ekpaUplF7431Dj6gFIz549kVHDhHEmJibQ1NSUiepycnJkor/qdHV1pb4pBQUFCpWzyVRUSA//dnN7vrhkc6ptgVFFJwzcu5fXoDx9ykdKFRXxZqeiIr4aeUEB3/Lz+fboEQ92Kv99+FC5YM/IiDcJduvGN2trwNYWePFFvjQEzRlPCGnlNDSA+fN5TVBgIHD9Op8ibPVqYPLkpl/yT1EGBgYwrKNbQEPe3VX1798fO3bskOybm5s3+J5AA4Of0tJSpKamwkfBeUy6desGCwsLXL9+Xer4jRs3pGqVqtLR0YG7uztiYmIwduxYyfGYmBiMHj26/oVvDKdP8wnvFPHgAW/Qrdo2Wku0XCdtbdk5Z5T1zju8X0tFxfPt0SPFrp04sWF5V+rYkf/JY24uvQmFfHi6pSWv1TEwaJz8CCGkhfP25s1gwcHAoUO8Gez4cWDDhpbZDCZPY727ExMTJRUnAK8NiomJwZwqfWKPHj0KLy8vpcqnVPAzb948+Pv7o2vXrsjJycHSpUtRUFCA4OBgAMDDhw+RkZGB+/fvA4AkyDE3N4e5uTkEAgE+/PBDhIWFwcXFBb1798a2bdvwzz//4LfffpPkM3ToUIwdOxYzZ84EAISGhiIoKAh9+vSBp6cnNm7ciIyMDEyfPl2pD9vosrP5rFX1JaeTmMIaGvgAvO9MfWlr89/Cdu0AfX2+dejw/F8jIx5YVf5rbMwDncp/TUx4vxtt7YZ/DkIIaWNMTPj4i2++4WMwdu4ELl7kle7OzqounWLqencvXLgQWVlZ2L59OwBg5cqV6NatGxwdHVFWVoYdO3YgMjISkZGRknvOnj0bAwcOxJdffonRo0dj//79OHbsWK0Dp+RRKvi5d+8eJk6ciNzcXHTu3Bn9+/fHmTNnYG1tDQA4cOCApC8PAEz4b+RN1c5QISEhKCkpwZw5c/Dw4UO4uLggJiYGtra2kutu3bqF3CojmAIDA5GXl4fPPvsMIpEITk5OOHTokCRflYiKAv4LziSMjYE33wT69n1+TCwGQkN5M09DGBsD330n3X/lwoXna2kpy8QE2LKF1z5paj7fNDSAsWN5X5zmXJyUEEKIFA0NPmjXy4sPZL1+nY8GW7MGePdd+c1gFWKGc+kPkVNYAlMDPXjYGENTQzXtZXW9u0UikVSXl7KyMsybNw9ZWVlo164dHB0dcfDgQYwaNUqSxsvLC7t378bixYvxySefwNbWFnv27EG/fv2UKhut6l4fdY3MquwQ7OPD+9Aos/J3dZU/3TWNsJK39IWVFf9N+eYbvl+1nHXdr/Keb7xRv2sJIYQ0un//5aPB/vyT70+axCear9oM9uc1EcIOJONBwfNWBaGRHsL8HTDSScnlfeSgVd3VmSIjs1au5AFPt258DpmGqGtB0IAAvsxCpUOHeK3MV1/Vf4FRVSxOSgghpEadOwMHDwIREbzSfccOXguUnMzP/3lNhPd3XJIKfAAgO78E7++4hD+vNXBh5zaGan6UFRureE2OQFD/4euLF/OJ9hq6IGhBwfMRZYcOAb6+it+vIdcSQghpEidO8Mr9+/d5t8u16xg2iv6GKL9EbnoBAHMjPZycP6RBTWBU86POREpEz5WBj6am8mMUHRwaZ6ZgQ8PnCzj4+Sl3v4ZcSwghpEn4+ACJicDw4Xy2kfc/fVhj4AMADIAovwTn0hvY97QNoeBHWcJ6tJtWVDyfILAp8yGEEKIWTE35bNCffQZoGdQc+FSVU6hYOnVAwY+yfHx43xdla3JCQvh8NXURCHiHZQXnTiKEEKKeNDWBTz4Bvlqip1B6UwPF0qkDCn6Upan5fHi5MgHQ6NF8Xp3jx3kgJO/6yv2VK6mJiRBCiEKmBRjDtIMeb9+SQwA+6svDxrhZy9WSUfBTH5WjoZStyalc+fu774DISBpNRQghpME0NQT4bIyD3L/HKw+F+TuobL6floiCn/oKCGhYTU5NQ9Qp8CGEEKKkkU5CrJ/kBqGRdNOWuZEe1k9ya5R5ftqSBq3tpfYqa3IGD+Y1O7NnSy8KamnJA5+aApqqAdHAgdTURQghpN5GOgkx3MEc59IfQvSoBMKOqp3huSWj4KexBATwfj1VV22va44eff36zwNECCGEVKOpIYCnbSdVF6PFo+CnMVXWBBFCCCGkxaI+P4QQQghRKxT8EEIIIUStUPBDCCGEELVCwQ8hhBBC1AoFP4QQQghRKxT8EEIIIUStUPBDCCGEELVCwQ8hhBBC1AoFP4QQQghRKxT8EEIIIUStUPBDCCGEELVCwQ8hhBBC1AoFP4QQQghRKxT8EEIIIUStUPBDCCGEELVCwQ8hhBBC1AoFP4QQQghpEuvWrYONjQ309PTg7u6OEydO1Jg2KioKw4cPR+fOnWFoaAhPT08cOXJEKs3WrVshEAhktpKSEqXKpVTwEx4eLpOhubm5VMFHjBgBExMTCAQCJCUlydxj8ODBMveYMGFCg/IlhBBCSMuyZ88ehISEYNGiRUhMTISPjw/8/PyQkZEhN318fDyGDx+OQ4cO4eLFi3j55Zfh7++PxMREqXSGhoYQiURSm56enlJl01L2wzg6OuLYsWOSfU1NTcnXxcXF8Pb2xrhx4zB16tQa7zF16lR89tlnkv127do1KF9CCCGEtCzffvstJk+ejClTpgAAVq5ciSNHjmD9+vWIiIiQSb9y5Uqp/WXLlmH//v34/fff4erqKjneGBUgSgc/WlpaNWYaFBQEALhz506t92jfvr3SBa8tX0IIIYS0HGVlZbh48SIWLFggddzX1xenT59W6B5isRiFhYUwNjaWOl5UVARra2tUVFSgd+/e+Pzzz6WCI0Uo3ecnLS0NFhYWsLGxwYQJE3D79m1lb4FffvkFJiYmcHR0xLx581BYWNgk+ZaWlqKgoECyKZIPIYQQQmpWWFgo9W4tLS2VSZObm4uKigqYmZlJHTczM0N2drZC+axYsQLFxcUYP3685Ji9vT22bt2KAwcOYNeuXdDT04O3tzfS0tKU+gxKBT/9+vXD9u3bceTIEWzatAnZ2dnw8vJCXl6ewvd48803sWvXLsTGxuKTTz5BZGQkAgICmiTfiIgIGBkZSTYHBweFy0kIIYQQWQ4ODlLvVnlNWJUEAoHUPmNM5pg8u3btQnh4OPbs2QNTU1PJ8f79+2PSpElwcXGBj48Pfv31V7z00ktYvXq1ch+CNUBRUREzMzNjK1askDqenp7OALDExMQ673HhwgUGgF28eLHB+VZXUlLC8vPzJVtKSgoDwDIzMxXOixBCCCGMZWZmMgAsJSVF6t1aUlIik7a0tJRpamqyqKgoqeOzZs1iAwcOrDWf3bt3s3bt2rE//vhDoXJNmTKFjRw5UvEPwhhTus9PVfr6+nB2dla6uqkqNzc3aGtrIy0tDW5ubo2ar66uLnR1dSX7BQUFdd5bLBajrKxMoXIQQpqXjo4ONDRohg5CVMnAwACGhoa1ptHR0YG7uztiYmIwduxYyfGYmBiMHj26xut27dqFd999F7t27cIrr7xSZ1kYY0hKSoKzs7PiHwD16PBcVWlpKVJTU+Hj41PveyQnJ+PZs2cQCoXNmq88ZWVlSE9Ph1gsbtT7EkIah4aGBmxsbKCjo6PqohBC6hAaGoqgoCD06dMHnp6e2LhxIzIyMjB9+nQAwMKFC5GVlYXt27cD4IHPW2+9hVWrVqF///6SvkHt2rWDkZERAGDJkiXo378/evTogYKCAnz//fdISkrC2rVrlSqbUsHPvHnz4O/vj65duyInJwdLly5FQUEBgoODAQAPHz5ERkYG7t+/DwC4fv06AMDc3Bzm5ua4desWfvnlF4waNQomJiZISUnB3Llz4erqCm9vb0k+Q4cOxdixYzFz5kyF8m0MjDGIRCJoamrCysqK/rokpIURi8W4f/8+RCIRunbtqlC/AUKI6gQGBiIvLw+fffYZRCIRnJyccOjQIVhbWwMARCKR1Jw/GzZsQHl5OWbMmIEZM2ZIjgcHB2Pr1q0AgMePH+O9995DdnY2jIyM4Orqivj4eHh4eChXOGXayAIDA5lQKGTa2trMwsKCBQQEsOTkZMn5LVu2MAAyW1hYGGOMsYyMDDZw4EBmbGzMdHR0mK2tLZs1axbLy8uTysfa2lpyjSL5KqqyvVJen5+ysjKWkpLCHj9+rPR9CSHN4/HjxywlJYWVlZWpuiiEqJ3a3qGtjYAxxuof17Uu9+7dg5WVFTIzM2FpaSl1rqSkBOnp6ejWrZtCky4SQprf06dPcefOHcl0+YSQ5lPbO7S1obadaqgqnZCWi34/CSGNgYIfQgghhKgVCn4IIYQQolYo+GnjBg8ejJCQEFUXgxBCCGkxKPhpA95++20IBAKZ7ebNm4iKisLnn38uSdtag6F169ZJOrm6u7vjxIkTCl8bEREBgUAg87m7desm97lVHWKpChEREejbty8MDAxgamqKMWPGSKaNkEeRz6HsPRtLXd+3hnxfCSGkvij4aSNGjhwJkUgktdnY2MDY2BgGBgaqLl6D7NmzByEhIVi0aBESExPh4+MDPz8/qfkhanL+/Hls3LgRvXr1knuu6vOKiYkBAIwbN67RP4My4uLiMGPGDJw5cwYxMTEoLy+Hr68viouL5aZX5HMoe09FDB48WDL3hjx1fd8a8n0lhJAGUfVY++ZU2xwFT58+ZSkpKezp06cqKFnDBAcHs9GjR8s9N2jQIDZ79mxJOlSbgyk9PV2pvGbMmMG8vb3lnrO2tmZLly5V6n6K8PDwYNOnT5c6Zm9vzxYsWFDrdYWFhaxHjx4sJiZG6jnUZPbs2czW1paJxWKFy3b48GHm7e3NjIyMmLGxMXvllVfYzZs3Fb5eETk5OQwAi4uLUyi9Ip+j+j3FYjH78ssvmY2NDdPT02O9evVie/furTWfQYMGsS1bttR4vq7vW32+r63595SQ1q4tzfNDNT9qZNWqVfD09MTUqVMltQRWVlYAgK1bt9Y5jDglJQXr16/Hl19+Kfd8z549kZSUVGc5li1bhg4dOtS6VTZ/lJWV4eLFi/D19ZW6h6+vL06fPl1rPjNmzMArr7yCYcOG1VmmsrIy7NixA++++65Sw6mLi4sRGhqK8+fP46+//oKGhgbGjh0rtUSKMp9Xnvz8fACAsbFxo32O6vdcvHgxtmzZgvXr1yM5ORlz5szBpEmTEBcXp9BzkFeO2r5vDfm+EkJIQzVoba82jTHgyRPV5N2+PaDkfCZ//PEHOnToINn38/PD3r17pdIYGRlBR0cH7du3h7m5ucw5Ozu7WvP4+uuv0bdvX6mlSKoyNjZGZmamVJnmzp0LsViM+fPnY8qUKQCA6dOnY/z48bXm1aVLFwBAbm4uKioqYGZmJnXezMxMsu6LPLt378alS5dw/vz5WvOptG/fPjx+/Bhvv/22Qukrvf7661L7mzdvhqmpKVJSUuDk5ARAuc9bHWMMoaGhGDBggOR+tVHkc1S/Z3FxMb799lv8/fff8PT0BAB0794dJ0+exIYNGzBo0KA6862uru9bfb+vhBDSGCj4qcmTJ0CVYKJZFRUB+vpKXfLyyy9j/fr1kn19Ja8fO3as1Mq71ZWXlyMyMhKffPKJ5Ni0adPg4eGByZMnAwAKCwsl+ZaXlyM0NBTHjx+HoaEh3NzcEBAQAGNjY8mmjOq1GIyxGms2MjMzMXv2bBw9elThWYA3b94MPz8/WFhYKFWuW7du4ZNPPsGZM2eQm5srqfHJyMiQBCv1+byVZs6ciStXruDkyZMKpVfkc1S/Z0pKCkpKSjB8+HCpdGVlZXB1dZXsL1u2DMuWLZPsP336FGfOnJGswQcAhw8fllpwuK7vmzLfV0IIaSwU/LQR+vr6ePHFF5vs/rdu3UJhYSGcnZ0B8EUm9+7diyFDhkjSXLlyBQEBAQCAc+fOwdHRUVKjMWrUKBw5cgQTJ06UeYnKU/kSNTExgaampkxtQE5OjkytQaWLFy8iJycH7u7ukmMVFRWIj4/HmjVrUFpaCk1NTcm5u3fv4tixY4iKilLiiXD+/v6wsrLCpk2bYGFhAbFYDCcnJ5SVlUnSKPN5q/rggw9w4MABxMfHKzSVvCKfQ949KwO2gwcPytRA6erqSr6uXoP15ptv4vXXX5d8z4HnNVh1fd/q830lhJDGQsFPTdq35zUwqsq7iejo6KCiokLp6x4/fgwAkqa1I0eO4NGjR9DR0QHAg527d+9izJgxAID79+9LvUgtLS2RlZUFQLlmIB0dHbi7uyMmJkaqZiomJgajR4+We+3QoUNx9epVqWPvvPMO7O3tMX/+fKnABwC2bNkCU1NTvPLKK7WWqbq8vDykpqZiw4YNksBFXg2Nss1ejDF88MEHiI6ORmxsLGxsbBQqT22fo7Z7Ojg4QFdXFxkZGbU2cVWvwWrXrh1MTU3lBt11fd/q830lhJDGQsFPTQQCpZueWoNu3brh7NmzuHPnDjp06ABjY2NoaGggOjoaCxcuxD///CP3OmtrawgEAuzatQv6+vqYO3cuRo0ahf3796Nbt26YNm0ahgwZgoEDBwLgL9vqKpszlG0GCg0NRVBQEPr06QNPT09s3LgRGRkZmD59uiTNmjVrEB0djb/++gsGBgYy/WP09fXRqVMnmeNisRhbtmxBcHAwtLSU+3Xo2LEjOnXqhI0bN0IoFCIjIwMLFiyQSafs550xYwZ27tyJ/fv3w8DAQFI7YmRkhHbt2kl9VkU/R233NDAwwLx58zBnzhyIxWIMGDAABQUFOH36NDp06IDg4GClnkulur5vinxfCSGkSahuoFnzU/eh7owxdv36dda/f3/Wrl07qaHuW7ZsYXX9OCxbtowZGhoyMzMztmnTJnb58mXWrVs31r59exYYGMjy8vIkaU+dOsXGjBkj2Z81axb75Zdf6v0Z165dy6ytrZmOjg5zc3OTGfYdFhbGrK2ta7y+pqHuR44cYQDY9evX5V5X13OJiYlhPXv2ZLq6uqxXr14sNjaWAWDR0dGKfCy5UG06gsqtcli5vM9a1+eo655isZitWrWK2dnZMW1tbda5c2c2YsSIWofX1zXUnbG6v291na+uNf+eEtLataWh7gLG5PyJ3kbdu3cPVlZWyMzMlOlDUVJSgvT0dMlss6RhysvL0bNnT8TGxko6PJ85cwadOnVSddGUEh4ejtjYWMTGxqq6KAT0e0qIKtX2Dm1tqNmLNAktLS2sWLECL7/8MsRiMT766KNWF/gAvG/TqlWrVF0MQgghjYiCH9JkXnvtNbz22muqLkaDJCQkqLoIhBBCGhnN8EwIIYQQtULBDyGEEELUCgU/hBBCCFErFPwQQgghRK1Q8EMIIYQQtULBTzVqNO0RIa0O/X4SQhoDDXX/j7a2NgQCAf7991907tyZVpYmpIVhjOHff/+FQCCAtra2qotDCGnFKPj5j6amJiwtLXHv3j3cuXNH1cUhhMghEAhgaWkpszgtIYQog4KfKjp06IAePXrg2bNnqi4KIUQObW1tCnwIIQ1GwU81mpqa9J8rIYQQ0oYp1eE5PDwcAoFAajM3N5ecj4qKwogRI2BiYgKBQICkpCSZewwePFjmHhMmTKgz73Xr1kkWM3R3d8eJEyeUKTohhBBCmpmy7+64uDi4u7tDT08P3bt3xw8//CCTJjIyEg4ODtDV1YWDgwOio6OVLpfSo70cHR0hEokk29WrVyXniouL4e3tjeXLl9d6j6lTp0rdY8OGDbWm37NnD0JCQrBo0SIkJibCx8cHfn5+yMjIULb4hBBCCGkGyr6709PTMWrUKPj4+CAxMREff/wxZs2ahcjISEmahIQEBAYGIigoCJcvX0ZQUBDGjx+Ps2fPKlc4poSwsDDm4uJSZ7r09HQGgCUmJsqcGzRoEJs9e7Yy2TIPDw82ffp0qWP29vZswYIFSt0nMzOTAWCZmZlKXUcIIYSoO2Xfocq+uz/66CNmb28vdWzatGmsf//+kv3x48ezkSNHSqUZMWIEmzBhgkJlqqR0n5+0tDRYWFhAV1cX/fr1w7Jly9C9e3el7vHLL79gx44dMDMzg5+fH8LCwmBgYCA3bVlZGS5evIgFCxZIHff19cXp06drzae0tBSlpaWS/fz8fACASCRSqryEEEKIuqt8d+bn58PQ0FByXFdXF7q6ulJp6/PuTkhIgK+vr9SxESNGYPPmzXj27Bm0tbWRkJCAOXPmyKRZuXKlUp9FqeCnX79+2L59O1566SU8ePAAS5cuhZeXF5KTk9GpUyeF7vHmm2/CxsYG5ubmuHbtGhYuXIjLly8jJiZGbvrc3FxUVFTAzMxM6riZmRmys7NrzSsiIgJLliyROe7h4aFQWQkhhBAizcnJSWo/LCwM4eHhUsfq8+7Ozs6Wm768vBy5ubkQCoU1pqkrHqhOqeDHz89P8rWzszM8PT1ha2uLbdu2ITQ0VKF7TJ06VfK1k5MTevTogT59+uDSpUtwc3Or8brqkw4yxuqciHDhwoVS5SovL0dqaiqsrKxQXFwMBwcHpKSk1FjrRIDCwkJ6TgqiZ6UYek6Ko2elGHpOimnocxKLxcjIyICDgwO0tJ6HD9VrfapS9t0tL3314/WJB6pr0FB3fX19ODs7Iy0trd73cHNzg7a2NtLS0uQGPyYmJtDU1JSJ6nJycmSiv+rkVcV5e3sDAAoKCgAAXbp0kaq+I9LoOSmOnpVi6Dkpjp6VYug5KaYxnlPXrl0VSlefd7e5ubnc9FpaWpLWpZrS1BUPVNegtb1KS0uRmpoKoVBY73skJyfj2bNnNd5DR0cH7u7uMs1iMTEx8PLyqne+hBBCCGka9Xl3e3p6yqQ/evQo+vTpI1nSpqY0SscDyvSOnjt3LouNjWW3b99mZ86cYa+++iozMDBgd+7cYYwxlpeXxxITE9nBgwcZALZ7926WmJjIRCIRY4yxmzdvsiVLlrDz58+z9PR0dvDgQWZvb89cXV1ZeXm5JJ8hQ4aw1atXS/Z3797NtLW12ebNm1lKSgoLCQlh+vr6knzrIz8/nwFg+fn59b6HOqDnpDh6Voqh56Q4elaKoeekmOZ+TnW9uxcsWMCCgoIk6W/fvs3at2/P5syZw1JSUtjmzZuZtrY2++233yRpTp06xTQ1Ndny5ctZamoqW758OdPS0mJnzpxRqmxKBT+BgYFMKBQybW1tZmFhwQICAlhycrLk/JYtWxgAmS0sLIwxxlhGRgYbOHAgMzY2Zjo6OszW1pbNmjWL5eXlSeVjbW0tuabS2rVrmbW1NdPR0WFubm4sLi5OqQ9aXUlJCQsLC2MlJSUNuk9bR89JcfSsFEPPSXH0rBRDz0kxqnhOtb27g4OD2aBBg6TSx8bGMldXV6ajo8O6devG1q9fL3PPvXv3Mjs7O6atrc3s7e1ZZGSk0uUSMPZfbyJCCCGEEDXQoD4/hBBCCCGtDQU/hBBCCFErFPwQQgghRK1Q8EMIIYQQtaKWwc+6detgY2MDPT09uLu748SJE6oukkqFh4dDIBBIbebm5pLzjDGEh4fDwsIC7dq1w+DBg5GcnKzCEjef+Ph4+Pv7w8LCAgKBAPv27ZM6r8izKS0txQcffAATExPo6+vjtddew71795rxUzS9up7T22+/LfMz1r9/f6k06vCcIiIi0LdvXxgYGMDU1BRjxozB9evXpdLQzxSnyLOinytg/fr16NWrFwwNDWFoaAhPT08cPnxYcp5+nuRTu+Bnz549CAkJwaJFi5CYmAgfHx/4+fkhIyND1UVTKUdHR4hEIsl29epVybmvvvoK3377LdasWYPz58/D3Nwcw4cPR2FhoQpL3DyKi4vh4uKCNWvWyD2vyLMJCQlBdHQ0du/ejZMnT6KoqAivvvoqKioqmutjNLm6nhMAjBw5Uupn7NChQ1Ln1eE5xcXFYcaMGThz5gxiYmJQXl4OX19fFBcXS9LQzxSnyLMC6OfK0tISy5cvx4ULF3DhwgUMGTIEo0ePlgQ49PNUA6UHx7dyHh4ebPr06VLH7O3t2YIFC1RUItULCwtjLi4ucs+JxWJmbm7Oli9fLjlWUlLCjIyM2A8//NBMJWwZALDo6GjJviLP5vHjx0xbW5vt3r1bkiYrK4tpaGiwP//8s9nK3pyqPyfG+Hweo0ePrvEadXxOjDGWk5PDAEjmPqGfqZpVf1aM0c9VTTp27Mh+/PFH+nmqhVrV/JSVleHixYvw9fWVOu7r64vTp0+rqFQtQ1paGiwsLGBjY4MJEybg9u3bAID09HRkZ2dLPTNdXV0MGjRI7Z+ZIs/m4sWLePbsmVQaCwsLODk5qd3zi42NhampKV566SVMnToVOTk5knPq+pzy8/MBAMbGxgDoZ6o21Z9VJfq5eq6iogK7d+9GcXExPD096eepFmoV/OTm5qKiokJmATQzMzOZhdLUSb9+/bB9+3YcOXIEmzZtQnZ2Nry8vJCXlyd5LvTMZCnybLKzs6Gjo4OOHTvWmEYd+Pn54ZdffsHff/+NFStW4Pz58xgyZAhKS0sBqOdzYowhNDQUAwYMgJOTEwD6maqJvGcF0M9VpatXr6JDhw7Q1dXF9OnTER0dDQcHB/p5qkWDVnVvrQQCgdQ+Y0zmmDrx8/OTfO3s7AxPT0/Y2tpi27Ztks6D9MxqVp9no27PLzAwUPK1k5MT+vTpA2traxw8eBABAQE1XteWn9PMmTNx5coVnDx5UuYc/UxJq+lZ0c8VZ2dnh6SkJDx+/BiRkZEIDg5GXFyc5Dz9PMlSq5ofExMTaGpqykSzOTk5MpGxOtPX14ezszPS0tIko77omclS5NmYm5ujrKwMjx49qjGNOhIKhbC2tkZaWhoA9XtOH3zwAQ4cOIDjx4/D0tJScpx+pmTV9KzkUdefKx0dHbz44ovo06cPIiIi4OLiglWrVtHPUy3UKvjR0dGBu7s7YmJipI7HxMTAy8tLRaVqeUpLS5GamgqhUAgbGxuYm5tLPbOysjLExcWp/TNT5Nm4u7tDW1tbKo1IJMK1a9fU+vnl5eUhMzMTQqEQgPo8J8YYZs6ciaioKPz999+wsbGROk8/U8/V9azkUdefq+oYYygtLaWfp9qooJO1Su3evZtpa2uzzZs3s5SUFBYSEsL09fXZnTt3VF00lZk7dy6LjY1lt2/fZmfOnGGvvvoqMzAwkDyT5cuXMyMjIxYVFcWuXr3KJk6cyIRCISsoKFBxyZteYWEhS0xMZImJiQwA+/bbb1liYiK7e/cuY0yxZzN9+nRmaWnJjh07xi5dusSGDBnCXFxcWHl5uao+VqOr7TkVFhayuXPnstOnT7P09HR2/Phx5unpybp06aJ2z+n9999nRkZGLDY2lolEIsn25MkTSRr6meLqelb0c8UtXLiQxcfHs/T0dHblyhX28ccfMw0NDXb06FHGGP081UTtgh/GGFu7di2ztrZmOjo6zM3NTWropDoKDAxkQqGQaWtrMwsLCxYQEMCSk5Ml58ViMQsLC2Pm5uZMV1eXDRw4kF29elWFJW4+x48fZwBktuDgYMaYYs/m6dOnbObMmczY2Ji1a9eOvfrqqywjI0MFn6bp1Pacnjx5wnx9fVnnzp2ZtrY269q1KwsODpZ5BurwnOQ9IwBsy5YtkjT0M8XV9azo54p79913Je+zzp07s6FDh0oCH8bo56kmAsYYa756JkIIIYQQ1VKrPj+EEEIIIRT8EEIIIUStUPBDCCGEELVCwQ8hhBBC1AoFP4QQQghRKxT8EEIIIUStUPBDCCGEELVCwQ8hhBBC1AoFP4QQQghRKxT8EEIIIUStUPBDCCGEELVCwQ8hhBBC1Mr/A3/1Gnk4eCLpAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 600x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "kB = 0.695034444  # Boltzmann constant (1/K/cm)\n",
    "\n",
    "# Example data (replace with actual values)\n",
    "\n",
    "# Define the anharmonic frequency function\n",
    "def anharmonic_fit(T, homega_0, a):\n",
    "    return homega_0 - (a / (np.exp(homega_0 / (2 * kB * T)) - 1))\n",
    "\n",
    "def anharmonic_fit2(T, homega_0, a):\n",
    "    return homega_0 + (a / (np.exp(518.29/ (2 * kB * T)) - 1))\n",
    "\n",
    "# Initial guess for parameters: [omega_0, a]\n",
    "initial_guess = [518, 3]  # Adjusted based on the scale of the data\n",
    "\n",
    "# Perform the fit\n",
    "popt, pcov = curve_fit(anharmonic_fit, Ts, peak_pos, p0=initial_guess)\n",
    "\n",
    "# Extract fit parameters and uncertainties\n",
    "omega_0_fit, a_fit = popt\n",
    "perr = np.sqrt(np.diag(pcov))  # Standard errors\n",
    "\n",
    "# Generate smooth curve for plotting\n",
    "T_fit = np.linspace(min(Ts), max(Ts), 100)\n",
    "weighted_sum_fit = anharmonic_fit(T_fit, *popt)\n",
    "# Plot results\n",
    "fig, ax1 = plt.subplots(figsize=(6,4))\n",
    "\n",
    "ax1.errorbar(Ts,peak_pos,yerr=peak_err,fmt='o')\n",
    "ax1.plot(T_fit, weighted_sum_fit, label=f'Fit: $\\omega_0$={omega_0_fit:.2f}, a={a_fit:.2e}', color='blue')\n",
    "ax1.legend(loc='upper left')\n",
    "ax1.set_ylim([515,519])\n",
    "initial_guess = [0.7, 2]  # Adjusted based on the scale of the data\n",
    "\n",
    "# Perform the fit\n",
    "popt, pcov = curve_fit(anharmonic_fit2, Ts, fwhm_vals, p0=initial_guess)\n",
    "# Extract fit parameters and uncertainties\n",
    "omega_0_fit, a_fit = popt\n",
    "perr = np.sqrt(np.diag(pcov))  # Standard errors\n",
    "\n",
    "# Generate smooth curve for plotting\n",
    "T_fit = np.linspace(min(Ts), max(Ts), 100)\n",
    "width_fit = anharmonic_fit2(T_fit, *popt)\n",
    "ax2 = ax1.twinx()\n",
    "# Plot results\n",
    "ax2.errorbar(Ts,fwhm_vals,yerr=fwhm_errs,fmt='o', color='red')\n",
    "ax2.plot(T_fit, width_fit, label=f'Fit: $\\omega_0$={omega_0_fit:.2f}, a={a_fit:.2e}', color='red')\n",
    "ax2.legend(loc='lower left')\n",
    "ax2.set_ylim([0,2])\n",
    "plt.savefig('Tdep_fits.eps')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.interpolate import interp1d\n",
    "from scipy.integrate import cumtrapz\n",
    "\n",
    "# Raw data: Temperature (K), thermal expansion coefficient (1e-5 /K)\n",
    "data = np.array([[0,0],\n",
    "    [16.736711990111246, 0.16901408450704114],\n",
    "    [21.038318912237326, 0.40140845070422504],\n",
    "    [24.15327564894932, 0.8028169014084501],\n",
    "    [26.526576019777497, 1.352112676056338],\n",
    "    [28.454882571075398, 2.197183098591548],\n",
    "    [29.493201483312728, 2.873239436619718],\n",
    "    [30.531520395550064, 3.528169014084507],\n",
    "    [30.97651421508034, 4.246478873239436],\n",
    "    [31.718170580964152, 5.049295774647887],\n",
    "    [32.756489493201485, 5.32394366197183],\n",
    "    [33.34981458590853, 4.774647887323943],\n",
    "    [33.64647713226205, 4.161971830985915],\n",
    "    [34.38813349814585, 3.633802816901408],\n",
    "    [35.278121137206426, 3.338028169014084],\n",
    "    [36.76143386897404, 3.063380281690141],\n",
    "    [39.28306551297898, 2.894366197183099],\n",
    "    [42.84301606922125, 2.809859154929577],\n",
    "    [45.95797280593325, 2.746478873239436],\n",
    "    [48.77626699629171, 2.746478873239436],\n",
    "    [52.78121137206428, 2.704225352112675],\n",
    "    [57.676143386897394, 2.725352112676056],\n",
    "    [62.42274412855376, 2.830985915492957],\n",
    "    [68.35599505562422, 2.830985915492957],\n",
    "    [74.88257107540173, 2.788732394366197],\n",
    "    [80.22249690976513, 2.852112676056338],\n",
    "    [84.82076637824474, 2.873239436619718],\n",
    "    [89.27070457354758, 2.915492957746478],\n",
    "    [92.83065512978985, 2.936619718309859],\n",
    "    [97.2805933250927, 2.936619718309859],\n",
    "    [101.28553770086525, 2.957746478873239],\n",
    "    [105.14215080346105, 3.02112676056338],\n",
    "    [108.99876390605684, 3.04225352112676],\n",
    "    [113.44870210135969, 3.063380281690141],\n",
    "    [118.04697156983927, 3.105633802816901],\n",
    "    [122.20024721878862, 3.105633802816901],\n",
    "    [126.35352286773794, 3.105633802816901],\n",
    "    [129.6168108776267, 3.126760563380281],\n",
    "    [134.2150803461063, 3.169014084507042],\n",
    "    [138.22002472187887, 3.211267605633802],\n",
    "    [142.22496909765144, 3.232394366197182],\n",
    "    [145.93325092707045, 3.232394366197182],\n",
    "    [149.64153275648948, 3.274647887323943],\n",
    "])\n",
    "\n",
    "T_data = data[:, 0]\n",
    "alpha_data = data[:, 1]\n",
    "\n",
    "# Interpolation functions\n",
    "interp_cubic = interp1d(T_data, alpha_data, kind='cubic', bounds_error=False, fill_value=\"extrapolate\")\n",
    "\n",
    "# Extrapolate low-T linearly to α=0 at T=0\n",
    "low_T_mask = T_data < 25\n",
    "T_low = T_data[low_T_mask]\n",
    "alpha_low = alpha_data[low_T_mask]\n",
    "low_fit = np.polyfit(T_low, alpha_low, 1)\n",
    "linear_low_extrap = np.poly1d(low_fit)\n",
    "\n",
    "# Extrapolate high-T linearly from region near 140K\n",
    "high_T_mask = (T_data > 100) & (T_data < 150)\n",
    "T_high = T_data[high_T_mask]\n",
    "alpha_high = alpha_data[high_T_mask]\n",
    "high_fit = np.polyfit(T_high, alpha_high, 1)\n",
    "linear_high_extrap = np.poly1d(high_fit)\n",
    "\n",
    "# Temperature range\n",
    "T_interp = np.linspace(0, 300, 1000)\n",
    "T_min, T_max = T_data.min(), T_data.max()\n",
    "\n",
    "# Build piecewise interpolation\n",
    "alpha_interp = np.piecewise(\n",
    "    T_interp,\n",
    "    [T_interp < T_min,\n",
    "     (T_interp >= T_min) & (T_interp <= T_max),\n",
    "     T_interp > T_max],\n",
    "    [linear_low_extrap, interp_cubic, linear_high_extrap]\n",
    ")\n",
    "\n",
    "# Integrate to get relative c-axis change\n",
    "delta_c_over_c0 = cumtrapz(alpha_interp * 1e-5, T_interp, initial=0)\n",
    "\n",
    "# Plotting\n",
    "plt.figure(figsize=(15, 5))\n",
    "\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.plot(T_data, alpha_data, 'o', label='Original Data')\n",
    "plt.plot(T_interp, alpha_interp, '-', label='Interpolated + Extrapolated')\n",
    "plt.xlabel('Temperature (K)')\n",
    "plt.ylabel('α_c (1/K)')\n",
    "plt.title('Thermal Expansion Coefficient (c-axis)')\n",
    "plt.legend()\n",
    "\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.plot(T_interp, delta_c_over_c0)\n",
    "plt.xlabel('Temperature (K)')\n",
    "plt.ylabel('Δc / c₀')\n",
    "plt.title('Relative Change in c-axis')\n",
    "plt.savefig('Tdep_c.eps')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def thermo_exp_fit(T, homega_0, gamma):\n",
    "    alpha_interp = np.piecewise(\n",
    "    T,\n",
    "    [T < T_min,\n",
    "     (T >= T_min) & (T <= T_max),\n",
    "     T > T_max],\n",
    "    [linear_low_extrap, interp_cubic, linear_high_extrap]\n",
    "    )\n",
    "\n",
    "    # Integrate to get relative c-axis change\n",
    "    delta_c_over_c0 = cumtrapz(alpha_interp * 1e-5, T, initial=0)\n",
    "    return homega_0*np.exp(-3*gamma*(delta_c_over_c0))\n",
    "\n",
    "popt_weighted3, pcov_weighted3 = curve_fit(thermo_exp_fit, Ts, peak_pos, p0=[518, 2])\n",
    "\n",
    "omega_0_fit, a_fit = popt_weighted3\n",
    "perr = np.sqrt(np.diag(pcov_weighted3))  # Standard errors\n",
    "\n",
    "# Generate smooth curve for plotting\n",
    "T_fit = np.linspace(min(Ts), max(Ts), 100)\n",
    "weighted_sum_fit = thermo_exp_fit(T_fit, *popt_weighted3)\n",
    "# Plot results\n",
    "fig, ax1 = plt.subplots(figsize=(6,4))\n",
    "\n",
    "ax1.errorbar(Ts,peak_pos,yerr=peak_err,fmt='o',color='blue')\n",
    "ax1.plot(T_fit, weighted_sum_fit, label=f'Fit: $\\omega_0$={omega_0_fit:.2f}, a={a_fit:.2e}', color='blue')\n",
    "ax1.legend(loc='upper left')\n",
    "ax1.set_ylim([515,519])\n",
    "ax2 = ax1.twinx()\n",
    "# Plot results\n",
    "ax2.errorbar(Ts,fwhm_vals,yerr=fwhm_errs,fmt='o', color='red')\n",
    "ax2.plot(T_fit, width_fit, label=f'Fit: $\\omega_0$={omega_0_fit:.2f}, a={a_fit:.2e}', color='red')\n",
    "ax2.legend(loc='lower left')\n",
    "ax2.set_ylim([0,2])\n",
    "plt.savefig('Tdep_fits2.eps')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "ename": "ValueError",
     "evalue": "If given, length of x along axis must be the same as y.",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mValueError\u001b[0m                                Traceback (most recent call last)",
      "Cell \u001b[1;32mIn[20], line 1\u001b[0m\n\u001b[1;32m----> 1\u001b[0m \u001b[43mcumtrapz\u001b[49m\u001b[43m(\u001b[49m\u001b[43malpha_interp\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43m \u001b[49m\u001b[38;5;241;43m1e-5\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mTs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43minitial\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m)\u001b[49m\n",
      "File \u001b[1;32mc:\\Users\\eggyC\\anaconda3\\lib\\site-packages\\scipy\\integrate\\_quadrature.py:302\u001b[0m, in \u001b[0;36mcumtrapz\u001b[1;34m(y, x, dx, axis, initial)\u001b[0m\n\u001b[0;32m    296\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mcumtrapz\u001b[39m(y, x\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m, dx\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m1.0\u001b[39m, axis\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m-\u001b[39m\u001b[38;5;241m1\u001b[39m, initial\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m):\n\u001b[0;32m    297\u001b[0m \u001b[38;5;250m    \u001b[39m\u001b[38;5;124;03m\"\"\"An alias of `cumulative_trapezoid`.\u001b[39;00m\n\u001b[0;32m    298\u001b[0m \n\u001b[0;32m    299\u001b[0m \u001b[38;5;124;03m    `cumtrapz` is kept for backwards compatibility. For new code, prefer\u001b[39;00m\n\u001b[0;32m    300\u001b[0m \u001b[38;5;124;03m    `cumulative_trapezoid` instead.\u001b[39;00m\n\u001b[0;32m    301\u001b[0m \u001b[38;5;124;03m    \"\"\"\u001b[39;00m\n\u001b[1;32m--> 302\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mcumulative_trapezoid\u001b[49m\u001b[43m(\u001b[49m\u001b[43my\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mx\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mx\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mdx\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mdx\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43maxis\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43maxis\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43minitial\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43minitial\u001b[49m\u001b[43m)\u001b[49m\n",
      "File \u001b[1;32mc:\\Users\\eggyC\\anaconda3\\lib\\site-packages\\scipy\\integrate\\_quadrature.py:378\u001b[0m, in \u001b[0;36mcumulative_trapezoid\u001b[1;34m(y, x, dx, axis, initial)\u001b[0m\n\u001b[0;32m    375\u001b[0m         d \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39mdiff(x, axis\u001b[38;5;241m=\u001b[39maxis)\n\u001b[0;32m    377\u001b[0m     \u001b[38;5;28;01mif\u001b[39;00m d\u001b[38;5;241m.\u001b[39mshape[axis] \u001b[38;5;241m!=\u001b[39m y\u001b[38;5;241m.\u001b[39mshape[axis] \u001b[38;5;241m-\u001b[39m \u001b[38;5;241m1\u001b[39m:\n\u001b[1;32m--> 378\u001b[0m         \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mIf given, length of x along axis must be the \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[0;32m    379\u001b[0m                          \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124msame as y.\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[0;32m    381\u001b[0m nd \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mlen\u001b[39m(y\u001b[38;5;241m.\u001b[39mshape)\n\u001b[0;32m    382\u001b[0m slice1 \u001b[38;5;241m=\u001b[39m tupleset((\u001b[38;5;28mslice\u001b[39m(\u001b[38;5;28;01mNone\u001b[39;00m),)\u001b[38;5;241m*\u001b[39mnd, axis, \u001b[38;5;28mslice\u001b[39m(\u001b[38;5;241m1\u001b[39m, \u001b[38;5;28;01mNone\u001b[39;00m))\n",
      "\u001b[1;31mValueError\u001b[0m: If given, length of x along axis must be the same as y."
     ]
    }
   ],
   "source": [
    "cumtrapz(alpha_interp * 1e-5, Ts, initial=0)"
   ]
  }
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